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.cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:-webkit-calc(50% + .3em);right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:-webkit-calc(50% + .3em);left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}\n\/* style for html inside of browsers *\/\n.katex { font-size: 1em !important; } \/* align KaTeX font-size to surrounding text *\/\n<\/style>\n<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex\/dist\/katex.min.css\">\n<link href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex-copytex@latest\/dist\/katex-copytex.min.css\" rel=\"stylesheet\"\n  type=\"text\/css\">\n<link rel=\"stylesheet\"\n  href=\"https:\/\/cdn.jsdelivr.net\/gh\/Microsoft\/vscode\/extensions\/markdown-language-features\/media\/highlight.css\"><br \/>\n<\/head><br \/>\n<body><br \/>\n<script>\niziToast.show({\n    title: '',\n    message: \"\u5efa\u8bae\u4f7f\u7528\u6d45\u8272\u6a21\u5f0f\u4ee5\u83b7\u5f97\u6700\u4f73\u9605\u8bfb\u4f53\u9a8c\uff01\",\n    class: 'shadow-sm',\n    position: 'topRight',\n    backgroundColor: 'var(--themecolor)',\n    titleColor: '#ffffff',\n    messageColor: '#ffffff',\n    iconColor: '#ffffff',\n    progressBarColor: '#ffffff',\n    icon: 'fa fa-info',\n    timeout: 8000\n});\n<\/script><\/p>\n<p>\u53c8\u5230\u4e86\u51d1\u70ed\u95f9\u73af\u8282~<br \/>\n\u5728\u516b\u7701\u8054\u8003\u540e\u7684\u90a3\u4e2a\u5468\u672b\uff0c\u7528\u4e00\u4e2a\u4e0b\u5348\uff08\u63071:00~4:00\uff09\u8d76\u51fa\u6765\u7684\u8be6\u89e3\u3002<\/p>\n<p>\u53c2\u8003\uff1a<sup class='reference' id='ref_1_1' data-content='Rawdon E J, Scharein R G. Using the HOMFLYPT Polynomial to Compute Knot Types[M]\/\/Knotted Fields. Cham: Springer Nature Switzerland, 2024: 319-342.' tabindex='0'><a class='reference-link' href='#ref_1'>[1]<\/a><\/sup><sup class='reference' id='ref_2_1' data-content='Freyd P, Yetter D, Hoste J, et al. A new polynomial invariant of knots and links[J]. 1985.' tabindex='0'><a class='reference-link' href='#ref_2'>[2]<\/a><\/sup><sup class='reference' id='ref_3_1' data-content='Jones V F R. The jones polynomial[J]. Discrete Math, 2005, 294: 275-277.' tabindex='0'><a class='reference-link' href='#ref_3'>[3]<\/a><\/sup><\/p>\n<h1 id=\"\u9898\u76ee\u56de\u987e\">\u9898\u76ee\u56de\u987e<\/h1>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/exercise11_unremarked.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/exercise11_unremarked.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\u516b\u7701\u8054\u800311\u9898\u539f\u9898\"\/><\/div><\/p>\n<h1 id=\"\u89e3\u6790\">\u89e3\u6790<\/h1>\n<p>\u3010\u7b54\u6848\u3011. ABD<\/p>\n<p>\u3010\u89e3\u6790\u3011. \u672c\u9898\u6d89\u53ca\u7ebd\u7ed3\u7406\u8bba\u4e0e\u62d3\u8865\u5b66\uff0c\u5c06\u7b80\u5355\u4ecb\u7ecd\u3002<\/p>\n<p>\u6211\u4eec\u6709\u591a\u79cd\u53d8\u91cf\u6765\u63cf\u8ff0\u4e00\u4e2a\u626d\u7ed3\uff0c\u6700\u7b80\u5355\u7684\u4e00\u4e2a\u53d8\u91cf\u662f<strong>\u4ea4\u53c9\u70b9<\/strong>\uff0c\u5373\u4e00\u4e2a\u626d\u7ed3\u4e2d\u6709\u591a\u5c11\u4e2a\u4ea4\u70b9\u3002<\/p>\n<p>\u626d\u7ed3\u53ef\u4ee5\u901a\u8fc7\u8bb8\u591a\u65b9\u5f0f\u8fdb\u884c\u65e0\u635f\u4f24\u7684\u53d8\u6362\uff0c\u5177\u4f53\u6765\u8bf4\uff0c\u6709\u4ee5\u4e0b\u4e09\u79cd\u65b9\u5f0f\uff08<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">R^3<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\uff09\uff1a<\/p>\n<ol>\n<li>\u626d\u8f6c(Twist)\uff1a\u5373\u5c06    <object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Pl.svg\" width=\"30\" height=\"30\"><\/object> \u626d\u8f6c\u6210 <object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Ptw.svg\" width=\"30\" height=\"30\"><\/object><\/li>\n<li>\u4ea4\u53c9(Poke)\uff1a\u5373\u5c06<object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Plo.svg\" width=\"30\" height=\"30\"><\/object> \u4e2d\u5de6\u8fb9\u7684\u7ad6\u7ebf\u5411\u53f3\u5e73\u79fb\u4f7f\u5176\u4ea4\u53c9\uff0c\u5f62\u6210 <object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Ppk.svg\" width=\"30\" height=\"30\"><\/object><\/li>\n<li>\u6ed1\u52a8(Slide)\uff1a\u5373\u5c06\u7ebf\u4ece\u4ea4\u53c9\u70b9\u4e00\u4fa7<object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Plx.svg\" width=\"30\" height=\"30\"><\/object> \u79fb\u81f3\u53e6\u4e00\u4fa7 <object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Pxl.svg\" width=\"30\" height=\"30\"><\/object><\/li>\n<\/ol>\n<p>\u6700\u7b80\u626d\u7ed3\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0a\u53d8\u6362\u5f97\u5230\u65b0\u7684\u626d\u7ed3\uff0c\u79f0\u4e3a\u5176\u6700\u7b80\u626d\u7ed3\u7684<strong>\u6295\u5f71<\/strong>\u3002\u672c\u9898\u5c31\u662f\u95ee\u6211\u4eec\u672c\u9898\u4e2d\u54ea\u4e2a\u662f\u9898\u56fe\uff08\u4e09\u4ea4\u53c9\u8282\uff0cTrefoil\uff09\u7684\u6295\u5f71\u3002\u5982\u679c\u4e24\u4e2a\u8282\u65e0\u8bba\u7ecf\u8fc7\u591a\u5c11\u6b21<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">R^3<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u53d8\u6362\u90fd\u4e0d\u80fd\u5b8c\u5168\u76f8\u540c\uff0c\u6211\u4eec\u624d\u80fd\u8bf4\u660e\u5b83\u4eec\u662f\u4e0d\u540c\u7684\u3002<\/p>\n<p>\u90a3\u4e48\u9664\u4e86\u4e00\u6b21\u6b21\u7684\u679a\u4e3e<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">R^3<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u53d8\u6362\uff0c\u6211\u4eec\u6709\u6ca1\u6709\u4e00\u4e9b\u7cfb\u7edf\u7684\u65b9\u6cd5\u6765\u8bf4\u660e\u5b83\u4eec\u4e0d\u540c\u5462\uff1f\u8fd9\u4e2a\u95ee\u9898\u4e5f\u88ab\u79f0\u4e3a\u626d\u7ed3\u540c\u75d5\u95ee\u9898\u201d\uff08\u4e5f\u4f5c\u201c\u626d\u7ed3\u7b49\u4ef7\u95ee\u9898\u201d\u3001\u201c\u626d\u7ed3\u5206\u7c7b\u95ee\u9898\u201d\uff09\u3002\u5343\u767e\u5e74\u6765\uff0c\u65e0\u6570\u6570\u5b66\u5bb6\u4e3a\u6b64\u52aa\u529b\uff0c\u7ec8\u4e8e\u53d1\u73b0\u4e86\u626d\u7ed3\u7684\u4e00\u4e9b\u6027\u8d28\u4e0d\u4f1a\u968f<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">R^3<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u53d8\u6362\u800c\u6539\u53d8\uff0c\u8fd9\u4e9b\u6027\u8d28\u88ab\u79f0\u4e3a<strong>\u4e0d\u53d8\u91cf<\/strong>\u3002\u4e8e\u662f\uff0c<strong>\u82e5\u4e24\u4e2a\u626d\u7ed3\u7684\u4efb\u610f\u4e00\u4e2a\u4e0d\u53d8\u91cf\u4e0d\u540c\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u65ad\u5b9a\u8fd9\u4e24\u4e2a\u626d\u7ed3\u662f\u4e0d\u540c\u7684\u3002<\/strong><\/p>\n<p>\u5e38\u89c1\u7684\u4e0d\u53d8\u91cf\u6709<strong>\u4e09\u8272\u6027\uff08\u8fdb\u4e00\u6b65\u5730\uff0cp-\u8272\u6027\uff09<\/strong>\u3001<strong>\u4e9a\u5386\u5c71\u5927\u591a\u9879\u5f0f<\/strong>\u3001<strong>HOMFLY-PT\u591a\u9879\u5f0f<\/strong>\u7b49\uff0c\u5c06\u9010\u4e00\u4ecb\u7ecd\u3002<\/p>\n<h2 id=\"\u4e09\u8272\u6027\">\u4e09\u8272\u6027<\/h2>\n<p>\u626d\u7ed3\u4e2d\u88ab\u4ea4\u53c9\u70b9\u5206\u9694\u5f00\u7684\u4e00\u5c0f\u6bb5\u79f0\u4e3a<strong>\u7247\u6bb5<\/strong>\uff0c\u4e00\u4e2a\u626d\u7ed3\u7684\u6240\u6709\u7247\u6bb5\u662f\u5426\u80fd\u88ab\u4e09\u79cd\u989c\u8272\u67d3\u8272\uff0c\u5373<strong>\u4e09\u8272\u6027<\/strong>\u3002\u67d3\u8272\u8981\u9075\u5faa\u4e24\u6761\u89c4\u5219\uff1a<\/p>\n<ul>\n<li>\u5fc5\u987b\u4f7f\u7528<strong>\u81f3\u5c11\u4e24\u79cd\u989c\u8272<\/strong>\uff0c\u56e0\u4e3a\u4efb\u4f55\u626d\u7ed3\u90fd\u53ef\u4ee5\u88ab\u4e00\u79cd\u989c\u8272\u67d3\u8272\uff1b<\/li>\n<li>\u5728\u4ea4\u70b9\u5904\uff0c\u989c\u8272\u8981\u4e48<strong>\u5b8c\u5168\u76f8\u540c<\/strong>\uff0c\u8981\u4e48<strong>\u5b8c\u5168\u4e0d\u540c<\/strong>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u4ea4\u70b9\u5904\u4e0d\u53ef\u80fd\u51fa\u73b0\u4e24\u79cd\u989c\u8272\u7684\u4ea4\u70b9\u3002\u5373\u4e0d\u80fd\u51fa\u73b0\uff1a<object data=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Pwc.svg\" width=\"30\" height=\"30\"><\/object><\/li>\n<\/ul>\n<p>\u663e\u7136\uff0c\u6709\u65e0\u4e09\u8272\u6027\u4e0d\u968f<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">R^3<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u53d8\u6362\u800c\u6539\u53d8\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e00\u4e2a\u626d\u7ed3\uff0c\u6211\u4eec\u53ea\u80fd\u63cf\u8ff0\u5176\u5177\u6709\u6216\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u800c\u6ca1\u6709\u5176\u4ed6\u53ef\u80fd\u3002\u5e38\u89c1\u7684\u5177\u6709\u4e09\u8272\u6027\u7684\u626d\u7ed3\u6709\u4e09\u4ea4\u53c9\u8282\uff0c\u5982\u56fe\u6240\u793a\uff1a<\/p>\n<div align=\"center\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/colored_trefoil.svg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/colored_trefoil.svg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" height=\"400\" width=\"400\"\/><\/div><\/div>\n<p>\u77e5\u9053\u4e86\u8fd9\u4e9b\u77e5\u8bc6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u9009\u51faA\u9009\u9879\u3002\u7531\u56fe\u53ef\u77e5\uff0c\u9898\u56fe\uff08\u4e09\u4ea4\u53c9\u8282\uff09\u5177\u6709\u4e09\u8272\u6027\u3002\u800cA\u662f<strong>\u5e73\u51e1\u8282\uff08unknot\uff09<\/strong>\uff0c\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u6545A\u56fe\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002\u76f8\u4f3c\u5730\uff0cD\u9009\u9879\u4e5f\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u5982\u56fe\u6240\u793a\uff0c\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/colored_optionD.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/colored_optionD.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"D\u9009\u9879\u65e0\u6cd5\u8fdb\u884c\u4e09\u8272\u67d3\u8272\"\/><\/div><\/p>\n<p>\u4e09\u8272\u6027\u53ef\u4ee5\u88ab\u8fdb\u4e00\u6b65\u5730\u63a8\u5e7f\u5230p-\u8272\u6027\uff1a\u9009\u5b9a\u4efb\u610f\u4e00\u4e2a\u8d28\u6570<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>p<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">p<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.625em;vertical-align:-0.19444em;\"><\/span><span class=\"mord mathnormal\">p<\/span><\/span><\/span><\/span><\/eq>\uff0c\u80fd\u5426\u5728\u6ee1\u8db3\u4e0b\u5217\u6761\u4ef6\u4e0b\uff0c\u4e3a\u626d\u7ed3\u4e2d\u6240\u6709\u7247\u6bb5\u6807\u4e0a0,1,2,<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2026<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\dots<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.12em;vertical-align:0em;\"><\/span><span class=\"minner\">\u2026<\/span><\/span><\/span><\/span><\/eq>,<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>p<\/mi><mo>\u2212<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(p-1)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq>\u3002\u82e5\u80fd\uff0c\u6211\u4eec\u79f0\u8fd9\u4e2a\u626d\u7ed3\u6709<strong>p-\u8272\u6027<\/strong>\u3002<\/p>\n<ul>\n<li>\u5fc5\u987b\u4f7f\u7528<strong>\u81f3\u5c11\u4e24\u79cd\u989c\u8272<\/strong>\uff0c\u56e0\u4e3a\u4efb\u4f55\u626d\u7ed3\u90fd\u53ef\u4ee5\u88ab\u4e00\u79cd\u989c\u8272\u67d3\u8272\uff1b<\/li>\n<li>\u5728\u4ea4\u53c9\u5904\u7684<strong>\u5404\u81ea\u7ef3\u6bb5\u7684\u6570\u5b57\u6807\u8bb0\u4e4b\u548c\u5fc5\u987b\u5728\u6a21p\u610f\u4e49\u4e0b\u540c\u4f59<\/strong>\uff0c\u8bb0\u4ea4\u53c9\u5904\u56db\u6bb5\u6807\u6570\u4e3a<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>b<\/mi><mn>1<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">b_1<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.84444em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u3001<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>b<\/mi><mn>2<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">b_2<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.84444em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u3001<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.61508em;vertical-align:0em;\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/eq>\u3001<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.61508em;vertical-align:0em;\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/eq>\uff08\u56e0\u4e3a\u603b\u6709\u4e24\u8fb9\u4e3a\u540c\u4e00\u4e2a\u6570\uff09\uff0c\u5219\u4e0a\u8ff0\u8868\u8ff0\u53ef\u4ee5\u7b80\u5316\u4e3a\uff1a<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>b<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>b<\/mi><mn>2<\/mn><\/msub><mo>\u2261<\/mo><mi>t<\/mi><mo>+<\/mo><mi>t<\/mi><mspace><\/mspace><mspace width=\"0.4444444444444444em\"\/><mo stretchy=\"false\">(<\/mo><mrow><mi mathvariant=\"normal\">m<\/mi><mi mathvariant=\"normal\">o<\/mi><mi mathvariant=\"normal\">d<\/mi><\/mrow><mspace width=\"0.3333333333333333em\"\/><mi>p<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">b_1 + b_2 \\equiv t + t \\pmod {p}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.84444em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.84444em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">\u2261<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.69841em;vertical-align:-0.08333em;\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.61508em;vertical-align:0em;\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace allowbreak\"><\/span><span class=\"mspace\" style=\"margin-right:0.4444444444444444em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathrm\">mod<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.3333333333333333em;\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq><\/li>\n<\/ul>\n<h2 id=\"homfly-pt-\u591a\u9879\u5f0f\">HOMFLY-PT \u591a\u9879\u5f0f<\/h2>\n<p>\u5728\u7ebd\u7ed3\u7406\u8bba\u4e2d\uff0cHOMFLY\u591a\u9879\u5f0f\u6216HOMFLY-PT\u591a\u9879\u5f0f\u662f\u4e00\u79cd\u53cc\u53d8\u5143\u7684\u7ebd\u7ed3\u591a\u9879\u5f0f\uff1b\u900f\u8fc7\u53d8\u5143\u4ee3\u6362\uff0c\u5b83\u53ef\u4ee5\u6db5\u62ec\u743c\u65af\u591a\u9879\u5f0f\u4e0e\u4e9a\u5386\u5c71\u5927\u591a\u9879\u5f0f\u5728\u4e09\u7ef4\u7684\u60c5\u5f62\u3002<\/p>\n<p>\u201cHOMFLY\u201d\u4e00\u540d\u5f97\u81ea\u8be5\u591a\u9879\u5f0f\u7684\u53d1\u73b0\u8005\uff1a<strong>H<\/strong>oste\u3001<strong>O<\/strong>cneanu\u3001<strong>M<\/strong>illett\u3001<strong>F<\/strong>reyd\u3001<strong>L<\/strong>ickorish\u3001<strong>Y<\/strong>etter\uff1b\u201cPT\u201d\u4e8c\u5b57\u65e8\u5728\u7eaa\u5ff5\u53e6\u4e24\u4f4d\u72ec\u7acb\u53d1\u73b0\u6b64\u7ed3\u4e0d\u53d8\u91cf\u7684\u6570\u5b66\u5bb6 <strong>P<\/strong>rzytycki \u4e0e <strong>T<\/strong>raczyk\u3002<\/p>\n<p>HOMFLY\u591a\u9879\u5f0f <eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>P<\/mi><mi>K<\/mi><\/msub><mo stretchy=\"false\">(<\/mo><mi mathvariant=\"normal\">\u2113<\/mi><mo separator=\"true\">,<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mi>K<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P_{K}(\\ell ,m)=P(K)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.32833099999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:-0.13889em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.07153em;\">K<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2113<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.07153em;\">K<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq> \u7531\u4e0b\u8ff0\u62c6\u63a5\u5173\u7cfb\u552f\u4e00\u5730\u5b9a\u4e49\uff1a<br \/>\n<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mtext>\u5e73\u51e1\u8282<\/mtext><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(\u5e73\u51e1\u8282) = 1,<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord cjk_fallback\">\u5e73\u51e1\u8282<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8388800000000001em;vertical-align:-0.19444em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><\/span><\/span><\/span><\/eq><br \/>\n<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>fwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>bwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>sep<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P(L_{\\text{fwd}})+\\ell ^{-1}P(L_{\\text{bwd}})+mP(L_{\\text{sep}})=0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.064108em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.036108em;vertical-align:-0.286108em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15139200000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">sep<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.286108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u5176\u4e2dfwd\u3001bwd\u3001sep\u662f\u4ea4\u53c9\u70b9\u7684\u76f8\u5bf9\u65b9\u5411\uff0c\u5206\u522b\u4e0e\u4e0b\u56fe\u4e2d<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>L<\/mi><mo>+<\/mo><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">L_+<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.891661em;vertical-align:-0.208331em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.25833100000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">+<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.208331em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u3001<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>L<\/mi><mo>\u2212<\/mo><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">L_-<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.891661em;vertical-align:-0.208331em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.25833100000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2212<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.208331em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u3001<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>L<\/mi><mn>0<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">L_0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.83333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.30110799999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\u76f8\u5bf9\u5e94\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Skein_HOMFLY.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Skein_HOMFLY.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\u4ea4\u53c9\u70b9\u7684\u76f8\u5bf9\u65b9\u5411\"\/><\/div><\/p>\n<p>\u5219\u901a\u8fc7\u4e0a\u8ff0\u5f0f\u5b50\uff0c\u901a\u8fc7\u9012\u5f52\u5173\u7cfb\u5c31\u53ef\u4ee5\u6c42\u89e3\u51fa\u4efb\u610f\u4e00\u4e2a\u626d\u7ed3\u7684HOMFLY-PT\u591a\u9879\u5f0f\u3002\u5982\u679c\u4e24\u4e2a\u626d\u7ed3\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e0d\u540c\uff0c\u5219\u6211\u4eec\u53ef\u4ee5\u8bf4\u8fd9\u4e24\u4e2a\u626d\u7ed3\u4e0d\u540c\u3002\u4ee5\u672c\u9898B\u9009\u9879\u4e3a\u4f8b\uff0c\u5177\u4f53\u4ecb\u7ecd\u5176\u64cd\u4f5c\u65b9\u6cd5\u3002<\/p>\n<p>\u9996\u5148\u9009\u5b9a\u4e00\u4e2a\u4ea4\u53c9\u70b9\uff0c\u6211\u9009\u62e9\u6700\u5de6\u8fb9\u7684\u4ea4\u53c9\u70b9\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\u3002\u4ee4\u5176\u4ea4\u53c9\u65b9\u5411\u4e3afwd\u65b9\u5411\uff0c\u5c06\u6211\u4eec\u8981\u6c42\u7684HOMFLY-PT\u591a\u9879\u5f0f\u8bb0\u4e3a<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mi>B<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(L_B)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.32833099999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.05017em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq>\uff0c\u5f85\u4f1a\u5e26\u5165\u516c\u5f0f\u65f6\uff0c\u5e94\u5c06\u5176\u5e26\u5165<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>fwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(L_{\\text{fwd}})<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/eq>\u9879\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u627ebwd\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u540e\u9762\u7684\u7ebf\u63d0\u524d\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u5e73\u51e1\u8282(\\Po)\uff0c\u4e8e\u662f<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>bwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">P(L_{\\text{bwd}})=P(\\Po) = 1<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u7136\u540e\uff0c\u627esep\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u56db\u4e2a\u7ef3\u6bb5\u65ad\u5f00\uff0c\u518d\u5c06\u539f\u6765\u6ca1\u6709\u8fde\u5728\u4e00\u8d77\u7684\u7ef3\u6bb5\u8fde\u63a5\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e24\u4e2a\u5e73\u51e1\u94fe\u73af\uff0c\u4e8e\u662f<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>sep<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">P(L_{\\text{sep}})=P\\left( \\Poo \\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.036108em;vertical-align:-0.286108em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15139200000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">sep<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.286108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u540c\u7406\uff0c\u5176\u4e2d<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">P\\left( \\Poo \\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/eq>\u6ee1\u8db3\uff1a<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P(\\Po) + \\ell^{-1}P(\\Po) + mP\\left(\\Poo\\right) = 0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.1141079999999999em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.864108em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u800c<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">P(\\Po) = 1<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/eq>\uff0c\u4ee3\u5165\u53ef\u89e3\u5f97<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mo>\u2212<\/mo><mi mathvariant=\"normal\">\u2113<\/mi><mo>\u22c5<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u2212<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u22c5<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">P\\left(\\Poo\\right) = &#8211; \\ell\\cdot m^{-1} &#8211; \\ell^{-1}\\cdot m^{-1}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.77777em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">\u2113<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u73b0\u5728\u4e07\u4e8b\u4ff1\u5907\uff0c\u53ea\u6b20\u4e1c\u98ce\u3002\u5c06\u4e0a\u8ff0\u5206\u6790\u4ee3\u5165\u8868\u8fbe\u5f0f\uff1a<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>fwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>bwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>sep<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P(L_{\\text{fwd}})+\\ell ^{-1}P(L_{\\text{bwd}})+mP(L_{\\text{sep}})=0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">fwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.1141079999999999em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.864108em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.036108em;vertical-align:-0.286108em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15139200000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">sep<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.286108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u5373<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mi>B<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P(L_B)+\\ell ^{-1}P(\\Po)+mP\\left( \\Poo \\right)=0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.32833099999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.05017em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.1141079999999999em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.864108em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u89e3\u5f97<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mi>B<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">P(L_B) = 1<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.32833099999999993em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.05017em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/eq>\uff0cB\u9009\u9879\u7adf\u7136\u53ea\u662f\u4e00\u4e2a\u5e73\u51e1\u8282\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u518d\u7528\u76f8\u4f3c\u7684\u65b9\u5f0f\u8ba1\u7b97\u9898\u56fe\u7684HOMFLY-PT\u591a\u9879\u5f0f\uff1a<\/p>\n<p>\u53d6\u5de6\u4e0a\u4ea4\u53c9\u70b9\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u4ee4\u5176\u4ea4\u53c9\u65b9\u5411\u4e3afwd\u65b9\u5411\uff0c\u8bb0\u4e09\u4ea4\u53c9\u8282\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e3a<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Ptri<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">P\\left(\\Ptri\\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Ptri<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/eq>\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u627ebwd\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u540e\u9762\u7684\u7ebf\u63d0\u524d\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u5e73\u51e1\u8282\uff0c\u4e8e\u662f<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>bwd<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">P(L_{\\text{bwd}})=P(\\Po) = 1<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.33610799999999996em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bwd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u7136\u540e\uff0c\u627esep\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u56db\u4e2a\u7ef3\u6bb5\u65ad\u5f00\uff0c\u518d\u5c06\u539f\u6765\u6ca1\u6709\u8fde\u5728\u4e00\u8d77\u7684\u7ef3\u6bb5\u8fde\u63a5\uff0c\u7a0d\u52a0\u6574\u7406\uff0c\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u970d\u666e\u592b\u94fe\u73af<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Phopf<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\left( \\Phopf\\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Phopf<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/eq>\u3002<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>L<\/mi><mtext>sep<\/mtext><\/msub><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Phopf<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">P(L_{\\text{sep}})=P\\left( \\Phopf \\right)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1.036108em;vertical-align:-0.286108em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15139200000000003em;\"><span style=\"top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">sep<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.286108em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Phopf<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u5bf9\u970d\u666e\u592b\u94fe\u73af\u5e94\u7528HOMFLY-PT\u591a\u9879\u5f0f\uff1a<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Phopf<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P\\left(\\Phopf\\right) + \\ell^{-1} P(\\Poo) + mP(\\Po) = 0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Phopf<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.1141079999999999em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.864108em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u4ee3\u5165<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Poo<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mo>\u2212<\/mo><mi mathvariant=\"normal\">\u2113<\/mi><mo>\u22c5<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u2212<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u22c5<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">P\\left(\\Poo\\right) = &#8211; \\ell\\cdot m^{-1} &#8211; \\ell^{-1}\\cdot m^{-1}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Poo<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.77777em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">\u2113<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\uff0c\u89e3\u5f97<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Phopf<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mo>\u2212<\/mo><mi>m<\/mi><mo>\u22c5<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u22c5<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>+<\/mo><msup><mi>m<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mo>\u22c5<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>3<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">P\\left(\\Phopf\\right) = -m\\cdot\\ell^{-1} + m^{-1}\\cdot\\ell^{-1} + m^{-1}\\cdot\\ell^{-3}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Phopf<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.66666em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq><\/p>\n<p>\u518d\u4ee3\u5165\u4e09\u4ea4\u53c9\u8282\u7684HOMFLY-PT\u8868\u8fbe\u5f0f\uff1a<\/p>\n<section><eqn><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Ptri<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Po<\/mtext><\/mstyle><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>m<\/mi><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Phopf<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\ell P\\left(\\Ptri\\right)+\\ell ^{-1}P(\\Po)+mP\\left(\\Phopf\\right)=0<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2113<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Ptri<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1.1141079999999999em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.864108em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Po<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Phopf<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/eqn><\/section>\n<p><\/math><\/p>\n<p>\u89e3\u5f97<eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mrow><mo fence=\"true\">(<\/mo><mstyle mathcolor=\"#cc0000\"><mtext>\\Ptri<\/mtext><\/mstyle><mo fence=\"true\">)<\/mo><\/mrow><mo>=<\/mo><msup><mi>m<\/mi><mn>2<\/mn><\/msup><mo>\u22c5<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>\u2212<\/mo><mn>2<\/mn><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>\u2212<\/mo><msup><mi mathvariant=\"normal\">\u2113<\/mi><mrow><mo>\u2212<\/mo><mn>4<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">P\\left(\\Ptri\\right) = m^2\\cdot \\ell^{-2} -2\\ell^{-2} &#8211; \\ell^{-4}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.13889em;\">P<\/span><span class=\"mspace\" style=\"margin-right:0.16666666666666666em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord text\" style=\"color:#cc0000;\"><span class=\"mord\" style=\"color:#cc0000;\">\\Ptri<\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2777777777777778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.897438em;vertical-align:-0.08333em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height:0.8141079999999999em;vertical-align:0em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2113<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8141079999999999em;\"><span style=\"top:-3.063em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/eq>\uff0c\u4e0eB\u9009\u9879\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e0d\u540c\uff0c\u6240\u4ee5B\u9009\u9879\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002<\/p>\n<h1 id=\"\u4e0b\u8f7d\">\u4e0b\u8f7d<\/h1>\n<h2 id=\"pdf\">pdf<\/h2>\n<p><a href=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/2025%E5%85%AB%E7%9C%81%E8%81%94%E8%80%8311%E9%A2%98%E2%80%94%E2%80%94%E7%BA%BD%E7%BB%93%E7%90%86%E8%AE%BA.pdf\">2025\u516b\u7701\u8054\u800311\u9898\u2014\u2014\u7ebd\u7ed3\u7406\u8bba.pdf<\/a><\/p>\n<h2 id=\"latex-\u6e90\u7801\"><eq><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mtext>LaTeX<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">\\LaTeX<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.89883em;vertical-align:-0.2155em;\"><\/span><span class=\"mord text\"><span class=\"mord textrm\">L<\/span><span class=\"mspace\" style=\"margin-right:-0.36em;\"><\/span><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.68333em;\"><span style=\"top:-2.904999em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"mord\"><span class=\"mord textrm mtight sizing reset-size6 size3\">A<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:-0.15em;\"><\/span><span class=\"mord text\"><span class=\"mord textrm\">T<\/span><span class=\"mspace\" style=\"margin-right:-0.1667em;\"><\/span><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.46782999999999997em;\"><span style=\"top:-2.7845em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord textrm\">E<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2155em;\"><span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:-0.125em;\"><\/span><span class=\"mord textrm\">X<\/span><\/span><\/span><\/span><\/span><\/span><\/eq> \u6e90\u7801<\/h2>\n<div class='collapse-block shadow-sm collapse-block-transparent collapsed hide-border-left'>\n<div class='collapse-block-title'><span class='collapse-block-title-inner'>\u5c55\u5f00<\/span><i class='collapse-icon fa fa-angle-down'><\/i><\/div>\n<div class='collapse-block-body' style='display:none;'>\n<pre><code><span class=\"hljs-keyword\">\\documentclass<\/span>[UTF8, 10pt, a4paper, oneside]{ctexart}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsmath}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsthm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amsfonts}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amssymb}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{amstext}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{geometry}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{graphicx}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{paralist}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{xcolor}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{tikz}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{bm}\n<span class=\"hljs-keyword\">\\usepackage<\/span>{changepage}\n<span class=\"hljs-keyword\">\\usetikzlibrary<\/span>{knots}\n<span class=\"hljs-keyword\">\\geometry<\/span>{left=1.27cm, right=1.27cm, top=1.27cm, bottom=1.5cm}\n<span class=\"hljs-keyword\">\\linespread<\/span>{1.5}\n<span class=\"hljs-keyword\">\\title<\/span>{<span class=\"hljs-keyword\">\\vspace<\/span>{-2em}2025\u516b\u7701\u8054\u800311\u9898\u2014\u2014\u7ebd\u7ed3\u7406\u8bba}\n<span class=\"hljs-keyword\">\\author<\/span>{Lucas2011}\n<span class=\"hljs-keyword\">\\date<\/span>{<span class=\"hljs-keyword\">\\today<\/span>}\n<span class=\"hljs-keyword\">\\pagestyle<\/span>{plain}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Ptw<\/span>}[0]{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (6,9) .. controls (6,3) and (0,1) .. (0,5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (0,5) .. controls (0,9) and (6,7) .. (6,1);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Pl<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (0,-5) -- (0,5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Plo<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (0,-5) -- (0,5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (6,4) .. controls (0,4) and (0,-4) .. (6,-4);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Ppk<\/span>}[0]{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (1,-5) -- (1,5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (4,4) .. controls (-3,4) and (-3,-4) .. (4,-4);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Plx<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (-3.5,-5) -- (-3.5,5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (-5,5) -- (5,-5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (-5,-5) -- (5,5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Pxl<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (3.5,-5) -- (3.5,5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (-5,5) -- (5,-5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (-5,-5) -- (5,5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Pwc<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\strand<\/span> [red] (0,-5) -- (0,5);\n<span class=\"hljs-keyword\">\\strand<\/span> [blue] (-5,0) .. controls (2.5,3) .. (5,-3);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Po<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\filldraw<\/span>[fill=none] circle (3.5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Poo<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n]\n<span class=\"hljs-keyword\">\\filldraw<\/span>[fill=none] (-5,0) circle (3.5);\n<span class=\"hljs-keyword\">\\filldraw<\/span>[fill=none] (5,0) circle (3.5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}\n<span class=\"hljs-keyword\">\\hspace<\/span>{0.5em}\n}\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Ptri<\/span>}{\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1.5ex, y=1.5ex, line width=1, \n    baseline={([yshift=-.5ex]current bounding box.center)},\n    scale=1,\n  ]\n  <span class=\"hljs-keyword\">\\begin<\/span>{knot}[clip width=2,\n    end tolerance=1pt,\n    consider self intersections,\n    flip crossing=2,\n  ]\n  <span class=\"hljs-keyword\">\\strand<\/span>\n  (90:2) to[out=180,in=-120,looseness=2]\n  (-30:2) to[out=60,in=120,looseness=2]\n  (210:2) to[out=-60,in=0,looseness=2] (90:2);\n  <span class=\"hljs-keyword\">\\end<\/span>{knot}\n  <span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}\n}\n\n<span class=\"hljs-keyword\">\\newcommand<\/span>{<span class=\"hljs-keyword\">\\Phopf<\/span>}{<span class=\"hljs-comment\">%<\/span>\n<span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}[x=1ex, y=1ex, line width=1.5, \n  baseline={([yshift=-.5ex]current bounding box.center)},\n  scale=0.6,\n]\n<span class=\"hljs-keyword\">\\begin<\/span>{knot}[ clip width=2,\n  end tolerance=1pt,\n  flip crossing=2,\n]\n<span class=\"hljs-keyword\">\\strand<\/span>  (-2,0) circle (3.5);\n<span class=\"hljs-keyword\">\\strand<\/span>  (2,0) circle (3.5);\n<span class=\"hljs-keyword\">\\end<\/span>{knot}\n<span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}\n}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{document}\n<span class=\"hljs-keyword\">\\maketitle<\/span>\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{definition}\n<span class=\"hljs-keyword\">\\newtheorem<\/span>*{exercise}{\u9898\u76ee}\n\n<span class=\"hljs-keyword\">\\theoremstyle<\/span>{remark}\n<span class=\"hljs-keyword\">\\newtheorem<\/span>*{answer}{\u3010\u7b54\u6848\u3011}\n<span class=\"hljs-keyword\">\\newtheorem<\/span>{method}{\u6027\u8d28}\n<span class=\"hljs-keyword\">\\newtheorem<\/span>*{explanation}{\u3010\u89e3\u6790\u3011}\n\n<span class=\"hljs-keyword\">\\begin<\/span>{exercise}\n    <span class=\"hljs-keyword\">\\textcolor<\/span>{white}{space}\n\n    <span class=\"hljs-keyword\">\\vspace<\/span>{-8em}\n    <span class=\"hljs-keyword\">\\begin<\/span>{figure}[ht!]\n        <span class=\"hljs-keyword\">\\centering<\/span>\n        <span class=\"hljs-keyword\">\\includegraphics<\/span>[width=0.9<span class=\"hljs-keyword\">\\textwidth<\/span>, keepaspectratio]{assists\/exercise11<span class=\"hljs-built_in\">_<\/span>unremarked.jpg}\n        <span class=\"hljs-keyword\">\\caption<\/span>{\u516b\u7701\u8054\u800311\u9898\u539f\u9898}\n        <span class=\"hljs-keyword\">\\label<\/span>{orig}\n    <span class=\"hljs-keyword\">\\end<\/span>{figure}\n<span class=\"hljs-keyword\">\\end<\/span>{exercise}\n<span class=\"hljs-keyword\">\\begin<\/span>{answer}\n    ABD\n<span class=\"hljs-keyword\">\\end<\/span>{answer}\n<span class=\"hljs-keyword\">\\begin<\/span>{explanation}\n    \u672c\u9898\u6d89\u53ca\u7ebd\u7ed3\u7406\u8bba\u4e0e\u62d3\u8865\u5b66\uff0c\u5c06\u7b80\u5355\u4ecb\u7ecd\u3002\n\n    \u6211\u4eec\u6709\u591a\u79cd\u53d8\u91cf\u6765\u63cf\u8ff0\u4e00\u4e2a\u626d\u7ed3\uff0c\u6700\u7b80\u5355\u7684\u4e00\u4e2a\u53d8\u91cf\u662f<span class=\"hljs-keyword\">\\textbf<\/span>{\u4ea4\u53c9\u70b9}\uff0c\u5373\u4e00\u4e2a\u626d\u7ed3\u4e2d\u6709\u591a\u5c11\u4e2a\u4ea4\u70b9\u3002\n\n    \u626d\u7ed3\u53ef\u4ee5\u901a\u8fc7\u8bb8\u591a\u65b9\u5f0f\u8fdb\u884c\u65e0\u635f\u4f24\u7684\u53d8\u6362\uff0c\u5177\u4f53\u6765\u8bf4\uff0c\u6709\u4ee5\u4e0b\u4e09\u79cd\u65b9\u5f0f\uff08<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\bm<\/span>{R<span class=\"hljs-built_in\">^<\/span>3}<span class=\"hljs-built_in\">$<\/span>\uff09\uff1a<span class=\"hljs-keyword\">\\vspace<\/span>{0.5em}\n    <span class=\"hljs-keyword\">\\begin<\/span>{adjustwidth}{2em}{}\n        <span class=\"hljs-keyword\">\\begin<\/span>{asparaenum}[1)]\n            <span class=\"hljs-keyword\">\\item<\/span> \u626d\u8f6c(Twist)\uff1a\u5373\u5c06<span class=\"hljs-keyword\">\\Pl<\/span> \u626d\u8f6c\u6210 <span class=\"hljs-keyword\">\\Ptw<\/span>\n            <span class=\"hljs-keyword\">\\item<\/span> \u4ea4\u53c9(Poke)\uff1a\u5373\u5c06<span class=\"hljs-keyword\">\\Plo<\/span> \u4e2d\u5de6\u8fb9\u7684\u7ad6\u7ebf\u5411\u53f3\u5e73\u79fb\u4f7f\u5176\u4ea4\u53c9\uff0c\u5f62\u6210 <span class=\"hljs-keyword\">\\Ppk<\/span>\n            <span class=\"hljs-keyword\">\\item<\/span> \u6ed1\u52a8(Slide)\uff1a\u5373\u5c06\u7ebf\u4ece\u4ea4\u53c9\u70b9\u4e00\u4fa7<span class=\"hljs-keyword\">\\Plx<\/span> \u79fb\u81f3\u53e6\u4e00\u4fa7 <span class=\"hljs-keyword\">\\Pxl<\/span>\n        <span class=\"hljs-keyword\">\\end<\/span>{asparaenum}\n    <span class=\"hljs-keyword\">\\end<\/span>{adjustwidth}\n\n    \u6700\u7b80\u626d\u7ed3\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0a\u53d8\u6362\u5f97\u5230\u65b0\u7684\u626d\u7ed3\uff0c\u79f0\u4e3a\u5176\u6700\u7b80\u626d\u7ed3\u7684<span class=\"hljs-keyword\">\\textbf<\/span>{\u6295\u5f71}\u3002\u672c\u9898\u5c31\u662f\u95ee\u6211\u4eec\u672c\u9898\u4e2d\u54ea\u4e2a\u662f\u9898\u56fe\uff08\u4e09\u4ea4\u53c9\u8282\uff0cTrefoil\uff09\u7684\u6295\u5f71\u3002\u5982\u679c\u4e24\u4e2a\u8282\u65e0\u8bba\u7ecf\u8fc7\u591a\u5c11\u6b21<span class=\"hljs-built_in\">$<\/span>R<span class=\"hljs-built_in\">^<\/span>3<span class=\"hljs-built_in\">$<\/span>\u53d8\u6362\u90fd\u4e0d\u80fd\u5b8c\u5168\u76f8\u540c\uff0c\u6211\u4eec\u624d\u80fd\u8bf4\u660e\u5b83\u4eec\u662f\u4e0d\u540c\u7684\u3002\n\n    \u90a3\u4e48\u9664\u4e86\u4e00\u6b21\u6b21\u7684\u679a\u4e3e<span class=\"hljs-built_in\">$<\/span>R<span class=\"hljs-built_in\">^<\/span>3<span class=\"hljs-built_in\">$<\/span>\u53d8\u6362\uff0c\u6211\u4eec\u6709\u6ca1\u6709\u4e00\u4e9b\u7cfb\u7edf\u7684\u65b9\u6cd5\u6765\u8bf4\u660e\u5b83\u4eec\u4e0d\u540c\u5462\uff1f\u8fd9\u4e2a\u95ee\u9898\u4e5f\u88ab\u79f0\u4e3a<span class=\"hljs-keyword\">\\textbf<\/span>{\u201c\u626d\u7ed3\u540c\u75d5\u95ee\u9898\u201d}<span class=\"hljs-keyword\">\\footnote<\/span>{\u4e5f\u4f5c\u201c\u626d\u7ed3\u7b49\u4ef7\u95ee\u9898\u201d\u3001\u201c\u626d\u7ed3\u5206\u7c7b\u95ee\u9898\u201d\u3002}\u3002\u5343\u767e\u5e74\u6765\uff0c\u65e0\u6570\u6570\u5b66\u5bb6\u4e3a\u6b64\u52aa\u529b\uff0c\u7ec8\u4e8e\u53d1\u73b0\u4e86\u626d\u7ed3\u7684\u4e00\u4e9b\u6027\u8d28\u4e0d\u4f1a\u968f<span class=\"hljs-built_in\">$<\/span>R<span class=\"hljs-built_in\">^<\/span>3<span class=\"hljs-built_in\">$<\/span>\u53d8\u6362\u800c\u6539\u53d8\uff0c\u8fd9\u4e9b\u6027\u8d28\u88ab\u79f0\u4e3a<span class=\"hljs-keyword\">\\textbf<\/span>{\u4e0d\u53d8\u91cf}\u3002\u4e8e\u662f\uff0c<span class=\"hljs-keyword\">\\textbf<\/span>{\u82e5\u4e24\u4e2a\u626d\u7ed3\u7684\u4efb\u610f\u4e00\u4e2a\u4e0d\u53d8\u91cf\u4e0d\u540c\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u65ad\u5b9a\u8fd9\u4e24\u4e2a\u626d\u7ed3\u662f\u4e0d\u540c\u7684\u3002}\n\n    \u5e38\u89c1\u7684\u4e0d\u53d8\u91cf\u6709<span class=\"hljs-keyword\">\\textbf<\/span>{\u4e09\u8272\u6027\uff08\u8fdb\u4e00\u6b65\u5730\uff0cp-\u8272\u6027\uff09}\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{\u4e9a\u5386\u5c71\u5927\u591a\u9879\u5f0f}\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{HOMFLY-PT\u591a\u9879\u5f0f}\u7b49\uff0c\u5c06\u9010\u4e00\u4ecb\u7ecd\u3002\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{method}[\u4e09\u8272\u6027]\n        \u626d\u7ed3\u4e2d\u88ab\u4ea4\u53c9\u70b9\u5206\u9694\u5f00\u7684\u4e00\u5c0f\u6bb5\u79f0\u4e3a<span class=\"hljs-keyword\">\\textbf<\/span>{\u7247\u6bb5}\uff0c\u4e00\u4e2a\u626d\u7ed3\u7684\u6240\u6709\u7247\u6bb5\u662f\u5426\u80fd\u88ab\u4e09\u79cd\u989c\u8272\u67d3\u8272\uff0c\u5373<span class=\"hljs-keyword\">\\textbf<\/span>{\u4e09\u8272\u6027}\u3002\u67d3\u8272\u8981\u9075\u5faa\u4e24\u6761\u89c4\u5219\uff1a\n        <span class=\"hljs-keyword\">\\begin<\/span>{inparaenum}[1)]\n            <span class=\"hljs-keyword\">\\item<\/span> \u5fc5\u987b\u4f7f\u7528<span class=\"hljs-keyword\">\\textbf<\/span>{\u81f3\u5c11\u4e24\u79cd\u989c\u8272}\uff0c\u56e0\u4e3a\u4efb\u4f55\u626d\u7ed3\u90fd\u53ef\u4ee5\u88ab\u4e00\u79cd\u989c\u8272\u67d3\u8272\uff1b\n            <span class=\"hljs-keyword\">\\item<\/span> \u5728\u4ea4\u70b9\u5904\uff0c\u989c\u8272\u8981\u4e48<span class=\"hljs-keyword\">\\textbf<\/span>{\u5b8c\u5168\u76f8\u540c}\uff0c\u8981\u4e48<span class=\"hljs-keyword\">\\textbf<\/span>{\u5b8c\u5168\u4e0d\u540c}\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u4ea4\u70b9\u5904\u4e0d\u53ef\u80fd\u51fa\u73b0\u4e24\u79cd\u989c\u8272\u7684\u4ea4\u70b9\u3002\u5373\u4e0d\u80fd\u51fa\u73b0\uff1a<span class=\"hljs-keyword\">\\Pwc<\/span>\n        <span class=\"hljs-keyword\">\\end<\/span>{inparaenum}\n\n        \u663e\u7136\uff0c\u6709\u65e0\u4e09\u8272\u6027\u4e0d\u968f<span class=\"hljs-built_in\">$<\/span>R<span class=\"hljs-built_in\">^<\/span>3<span class=\"hljs-built_in\">$<\/span>\u53d8\u6362\u800c\u6539\u53d8\u3002\n\n        <span class=\"hljs-keyword\">\\newpage<\/span>\n\n        \u5bf9\u4e8e\u4e00\u4e2a\u626d\u7ed3\uff0c\u6211\u4eec\u53ea\u80fd\u63cf\u8ff0\u5176\u5177\u6709\u6216\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u800c\u6ca1\u6709\u5176\u4ed6\u53ef\u80fd\u3002\u5e38\u89c1\u7684\u5177\u6709\u4e09\u8272\u6027\u7684\u626d\u7ed3\u6709\u4e09\u4ea4\u53c9\u8282\uff0c\u5982\u56fe\u6240\u793a\uff1a\n        <span class=\"hljs-keyword\">\\begin<\/span>{figure}[h!]\n            <span class=\"hljs-keyword\">\\centering<\/span>\n            <span class=\"hljs-keyword\">\\begin<\/span>{minipage}[ht!]{0.5<span class=\"hljs-keyword\">\\textwidth<\/span>}\n                <span class=\"hljs-keyword\">\\centering<\/span>\n                <span class=\"hljs-keyword\">\\begin<\/span>{tikzpicture}\n                    <span class=\"hljs-keyword\">\\path<\/span>[spath\/save=trefoil]\n                    (0,2) .. controls +(2.2,0) and +(120:-2.2) ..\n                    (210:2) .. controls +(120:2.2) and +(60:2.2) ..\n                    (-30:2) .. controls +(60:-2.2) and +(-2.2,0) .. (0,2);\n                    <span class=\"hljs-keyword\">\\tikzset<\/span>{\n                        every trefoil component\/.style={draw},\n                        trefoil component 1\/.style={blue, dash dot, line width=2pt},\n                        trefoil component 2\/.style={green, dashed, line width=2pt},\n                        trefoil component 3\/.style={magenta, line width=2pt},\n                        spath\/knot={trefoil}{15pt}{1,3,5},\n                    }\n                <span class=\"hljs-keyword\">\\end<\/span>{tikzpicture}\n                <span class=\"hljs-keyword\">\\caption<\/span>{\u4e09\u4ea4\u53c9\u8282\u7684\u4e09\u8272\u67d3\u8272}\n                <span class=\"hljs-keyword\">\\label<\/span>{trefoil<span class=\"hljs-built_in\">_<\/span>coloring}\n            <span class=\"hljs-keyword\">\\end<\/span>{minipage}\n            <span class=\"hljs-keyword\">\\centering<\/span>\n            <span class=\"hljs-keyword\">\\begin<\/span>{minipage}[ht!]{0.4<span class=\"hljs-keyword\">\\textwidth<\/span>}\n                <span class=\"hljs-keyword\">\\includegraphics<\/span>[width=0.8<span class=\"hljs-keyword\">\\textwidth<\/span>, keepaspectratio]{assists\/colored<span class=\"hljs-built_in\">_<\/span>optionD.jpg}\n                <span class=\"hljs-keyword\">\\caption<\/span>{D\u9009\u9879\u65e0\u6cd5\u8fdb\u884c\u4e09\u8272\u67d3\u8272}\n                <span class=\"hljs-keyword\">\\label<\/span>{colored<span class=\"hljs-built_in\">_<\/span>optionD}\n            <span class=\"hljs-keyword\">\\end<\/span>{minipage}\n        <span class=\"hljs-keyword\">\\end<\/span>{figure}\n\n        \u77e5\u9053\u4e86\u8fd9\u4e9b\u77e5\u8bc6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u9009\u51faA\u9009\u9879\u3002\u7531\u56fe<span class=\"hljs-keyword\">\\ref<\/span>{trefoil<span class=\"hljs-built_in\">_<\/span>coloring} \u53ef\u77e5\uff0c\u9898\u56fe\uff08\u4e09\u4ea4\u53c9\u8282\uff09\u5177\u6709\u4e09\u8272\u6027\u3002\u800cA\u662f<span class=\"hljs-keyword\">\\textbf<\/span>{\u5e73\u51e1\u8282\uff08unknot\uff09}\uff0c\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u6545A\u56fe\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002\u76f8\u4f3c\u5730\uff0cD\u9009\u9879\u4e5f\u4e0d\u5177\u6709\u4e09\u8272\u6027\uff0c\u5982\u56fe<span class=\"hljs-keyword\">\\ref<\/span>{colored<span class=\"hljs-built_in\">_<\/span>optionD} \u6240\u793a\uff0c\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002\n\n        \u4e09\u8272\u6027\u53ef\u4ee5\u88ab\u8fdb\u4e00\u6b65\u5730\u63a8\u5e7f\u5230p-\u8272\u6027\uff1a\u9009\u5b9a\u4efb\u610f\u4e00\u4e2a\u8d28\u6570<span class=\"hljs-built_in\">$<\/span>p<span class=\"hljs-built_in\">$<\/span>\uff0c\u80fd\u5426\u5728\u6ee1\u8db3\u4e0b\u5217\u6761\u4ef6\u4e0b\uff0c\u4e3a\u626d\u7ed3\u4e2d\u6240\u6709\u7247\u6bb5\u6807\u4e0a0,1,2,<span class=\"hljs-keyword\">\\dots<\/span>,<span class=\"hljs-built_in\">$<\/span>(p-1)<span class=\"hljs-built_in\">$<\/span>\u3002\u82e5\u80fd\uff0c\u6211\u4eec\u79f0\u8fd9\u4e2a\u626d\u7ed3\u6709<span class=\"hljs-keyword\">\\textbf<\/span>{p-\u8272\u6027}\u3002\n        <span class=\"hljs-keyword\">\\begin<\/span>{inparaenum}[1)]\n            <span class=\"hljs-keyword\">\\item<\/span> \u5fc5\u987b\u4f7f\u7528<span class=\"hljs-keyword\">\\textbf<\/span>{\u81f3\u5c11\u4e24\u79cd\u989c\u8272}\uff0c\u56e0\u4e3a\u4efb\u4f55\u626d\u7ed3\u90fd\u53ef\u4ee5\u88ab\u4e00\u79cd\u989c\u8272\u67d3\u8272\uff1b\n            <span class=\"hljs-keyword\">\\item<\/span> \u5728\u4ea4\u53c9\u5904\u7684<span class=\"hljs-keyword\">\\textbf<\/span>{\u5404\u81ea\u7ef3\u6bb5\u7684\u6570\u5b57\u6807\u8bb0\u4e4b\u548c\u5fc5\u987b\u5728\u6a21p\u610f\u4e49\u4e0b\u540c\u4f59}\uff0c\u8bb0\u4ea4\u53c9\u5904\u56db\u6bb5\u6807\u6570\u4e3a<span class=\"hljs-built_in\">$<\/span>b<span class=\"hljs-built_in\">_<\/span>1<span class=\"hljs-built_in\">$<\/span>\u3001<span class=\"hljs-built_in\">$<\/span>b<span class=\"hljs-built_in\">_<\/span>2<span class=\"hljs-built_in\">$<\/span>\u3001<span class=\"hljs-built_in\">$<\/span>t<span class=\"hljs-built_in\">$<\/span>\u3001<span class=\"hljs-built_in\">$<\/span>t<span class=\"hljs-built_in\">$<\/span>\uff08\u56e0\u4e3a\u603b\u6709\u4e24\u8fb9\u4e3a\u540c\u4e00\u4e2a\u6570\uff09\uff0c\u5219\u4e0a\u8ff0\u8868\u8ff0\u53ef\u4ee5\u7b80\u5316\u4e3a\uff1a\n        <span class=\"hljs-keyword\">\\end<\/span>{inparaenum}\n        <span class=\"hljs-built_in\">$<\/span><span class=\"hljs-built_in\">$<\/span>\n            b<span class=\"hljs-built_in\">_<\/span>1 + b<span class=\"hljs-built_in\">_<\/span>2 <span class=\"hljs-keyword\">\\equiv<\/span> t + t <span class=\"hljs-keyword\">\\pmod<\/span> {p}\n        <span class=\"hljs-built_in\">$<\/span><span class=\"hljs-built_in\">$<\/span>\n    <span class=\"hljs-keyword\">\\end<\/span>{method}\n\n    <span class=\"hljs-keyword\">\\begin<\/span>{method}[HOMFLY-PT\u591a\u9879\u5f0f]\n        \u5728\u7ebd\u7ed3\u7406\u8bba\u4e2d\uff0cHOMFLY\u591a\u9879\u5f0f\u6216HOMFLY-PT\u591a\u9879\u5f0f\u662f\u4e00\u79cd\u53cc\u53d8\u5143\u7684\u7ebd\u7ed3\u591a\u9879\u5f0f\uff1b\u900f\u8fc7\u53d8\u5143\u4ee3\u6362\uff0c\u5b83\u53ef\u4ee5\u6db5\u62ec\u743c\u65af\u591a\u9879\u5f0f\u4e0e\u4e9a\u5386\u5c71\u5927\u591a\u9879\u5f0f\u5728\u4e09\u7ef4\u7684\u60c5\u5f62\u3002\n\n        \u201cHOMFLY\u201d\u4e00\u540d\u5f97\u81ea\u8be5\u591a\u9879\u5f0f\u7684\u53d1\u73b0\u8005\uff1a<span class=\"hljs-keyword\">\\textbf<\/span>{H}oste\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{O}cneanu\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{M}illett\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{F}reyd\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{L}ickorish\u3001<span class=\"hljs-keyword\">\\textbf<\/span>{Y}etter\uff1b\u201cPT\u201d\u4e8c\u5b57\u65e8\u5728\u7eaa\u5ff5\u53e6\u4e24\u4f4d\u72ec\u7acb\u53d1\u73b0\u6b64\u7ed3\u4e0d\u53d8\u91cf\u7684\u6570\u5b66\u5bb6 <span class=\"hljs-keyword\">\\textbf<\/span>{P}rzytycki \u4e0e <span class=\"hljs-keyword\">\\textbf<\/span>{T}raczyk\u3002\n\n        HOMFLY\u591a\u9879\u5f0f <span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-built_in\">_<\/span>{K}(<span class=\"hljs-keyword\">\\ell<\/span> ,m)=P(K)<span class=\"hljs-built_in\">$<\/span> \u7531\u4e0b\u8ff0\u62c6\u63a5\u5173\u7cfb\u552f\u4e00\u5730\u5b9a\u4e49\uff1a\n        <span class=\"hljs-keyword\">\\begin<\/span>{equation*}\n            <span class=\"hljs-keyword\">\\begin<\/span>{gathered}\n                P(<span class=\"hljs-keyword\">\\Po<\/span>) = 1,<span class=\"hljs-keyword\">\\\\<\/span>\n                <span class=\"hljs-keyword\">\\ell<\/span> P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{fwd}})+<span class=\"hljs-keyword\">\\ell<\/span> <span class=\"hljs-built_in\">^<\/span>{-1}P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{bwd}})+mP(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{sep}})=0\n            <span class=\"hljs-keyword\">\\end<\/span>{gathered}\n        <span class=\"hljs-keyword\">\\end<\/span>{equation*}\n        \u5176\u4e2dfwd\u3001bwd\u3001sep\u662f\u4ea4\u53c9\u70b9\u7684\u76f8\u5bf9\u65b9\u5411\uff0c\u5206\u522b\u4e0e\u4e0b\u56fe\u4e2d<span class=\"hljs-built_in\">$<\/span>L<span class=\"hljs-built_in\">_<\/span>+<span class=\"hljs-built_in\">$<\/span>\u3001<span class=\"hljs-built_in\">$<\/span>L<span class=\"hljs-built_in\">_<\/span>-<span class=\"hljs-built_in\">$<\/span>\u3001<span class=\"hljs-built_in\">$<\/span>L<span class=\"hljs-built_in\">_<\/span>0<span class=\"hljs-built_in\">$<\/span>\u76f8\u5bf9\u5e94\u3002\n        <span class=\"hljs-keyword\">\\begin<\/span>{figure}[ht!]\n            <span class=\"hljs-keyword\">\\centering<\/span>\n            <span class=\"hljs-keyword\">\\includegraphics<\/span>[width=0.3<span class=\"hljs-keyword\">\\textwidth<\/span>, keepaspectratio]{assists\/Skein<span class=\"hljs-built_in\">_<\/span>(HOMFLY).png}\n            <span class=\"hljs-keyword\">\\caption<\/span>{\u4ea4\u53c9\u70b9\u7684\u76f8\u5bf9\u65b9\u5411}\n        <span class=\"hljs-keyword\">\\end<\/span>{figure}\n\n        \u5219\u901a\u8fc7\u4e0a\u8ff0\u5f0f\u5b50\uff0c\u901a\u8fc7\u9012\u5f52\u5173\u7cfb\u5c31\u53ef\u4ee5\u6c42\u89e3\u51fa\u4efb\u610f\u4e00\u4e2a\u626d\u7ed3\u7684HOMFLY-PT\u591a\u9879\u5f0f\u3002\u5982\u679c\u4e24\u4e2a\u626d\u7ed3\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e0d\u540c\uff0c\u5219\u6211\u4eec\u53ef\u4ee5\u8bf4\u8fd9\u4e24\u4e2a\u626d\u7ed3\u4e0d\u540c\u3002\u4ee5\u672c\u9898B\u9009\u9879\u4e3a\u4f8b\uff0c\u5177\u4f53\u4ecb\u7ecd\u5176\u64cd\u4f5c\u65b9\u6cd5\u3002\n\n        \u9996\u5148\u9009\u5b9a\u4e00\u4e2a\u4ea4\u53c9\u70b9\uff0c\u6211\u9009\u62e9\u6700\u5de6\u8fb9\u7684\u4ea4\u53c9\u70b9\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\u3002\u4ee4\u5176\u4ea4\u53c9\u65b9\u5411\u4e3afwd\u65b9\u5411\uff0c\u5c06\u6211\u4eec\u8981\u6c42\u7684HOMFLY-PT\u591a\u9879\u5f0f\u8bb0\u4e3a<span class=\"hljs-built_in\">$<\/span>P(L<span class=\"hljs-built_in\">_<\/span>B)<span class=\"hljs-built_in\">$<\/span>\uff0c\u5f85\u4f1a\u5e26\u5165\u516c\u5f0f\u65f6\uff0c\u5e94\u5c06\u5176\u5e26\u5165<span class=\"hljs-built_in\">$<\/span>P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{fwd}})<span class=\"hljs-built_in\">$<\/span>\u9879\u3002\n\n        \u63a5\u4e0b\u6765\uff0c\u627ebwd\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u540e\u9762\u7684\u7ebf\u63d0\u524d\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u5e73\u51e1\u8282(<span class=\"hljs-keyword\">\\Po<\/span>)\uff0c\u4e8e\u662f\n        <span class=\"hljs-keyword\">\\[<\/span>\n            P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{bwd}})=P(<span class=\"hljs-keyword\">\\Po<\/span>) = 1\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u7136\u540e\uff0c\u627esep\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u56db\u4e2a\u7ef3\u6bb5\u65ad\u5f00\uff0c\u518d\u5c06\u539f\u6765\u6ca1\u6709\u8fde\u5728\u4e00\u8d77\u7684\u7ef3\u6bb5\u8fde\u63a5\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e24\u4e2a\u5e73\u51e1\u94fe\u73af\uff0c\u4e8e\u662f\n        <span class=\"hljs-keyword\">\\[<\/span>\n            P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{sep}})=P<span class=\"hljs-keyword\">\\left<\/span>( <span class=\"hljs-keyword\">\\Poo<\/span> <span class=\"hljs-keyword\">\\right<\/span>)\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u540c\u7406\uff0c\u5176\u4e2d<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>( <span class=\"hljs-keyword\">\\Poo<\/span> <span class=\"hljs-keyword\">\\right<\/span>)<span class=\"hljs-built_in\">$<\/span>\u6ee1\u8db3\uff1a\n        <span class=\"hljs-keyword\">\\[<\/span>\n            <span class=\"hljs-keyword\">\\ell<\/span> P(<span class=\"hljs-keyword\">\\Po<\/span>) + <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1}P(<span class=\"hljs-keyword\">\\Po<\/span>) + mP<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Poo<\/span><span class=\"hljs-keyword\">\\right<\/span>) = 0\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u800c<span class=\"hljs-built_in\">$<\/span>P(<span class=\"hljs-keyword\">\\Po<\/span>) = 1<span class=\"hljs-built_in\">$<\/span>\uff0c\u4ee3\u5165\u53ef\u89e3\u5f97<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Poo<\/span><span class=\"hljs-keyword\">\\right<\/span>) = - <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-keyword\">\\cdot<\/span> m<span class=\"hljs-built_in\">^<\/span>{-1} - <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-keyword\">\\cdot<\/span> m<span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\vspace<\/span>{1em}\n\n        \u73b0\u5728\u4e07\u4e8b\u4ff1\u5907\uff0c\u53ea\u6b20\u4e1c\u98ce\u3002\u5c06\u4e0a\u8ff0\u5206\u6790\u4ee3\u5165\u8868\u8fbe\u5f0f\uff1a\n        <span class=\"hljs-keyword\">\\[<\/span>\n            <span class=\"hljs-keyword\">\\ell<\/span> P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{fwd}})+<span class=\"hljs-keyword\">\\ell<\/span> <span class=\"hljs-built_in\">^<\/span>{-1}P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{bwd}})+mP(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{sep}})=0\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u5373\n        <span class=\"hljs-keyword\">\\[<\/span>\n            <span class=\"hljs-keyword\">\\ell<\/span> P(L<span class=\"hljs-built_in\">_<\/span>B)+<span class=\"hljs-keyword\">\\ell<\/span> <span class=\"hljs-built_in\">^<\/span>{-1}P(<span class=\"hljs-keyword\">\\Po<\/span>)+mP<span class=\"hljs-keyword\">\\left<\/span>( <span class=\"hljs-keyword\">\\Poo<\/span> <span class=\"hljs-keyword\">\\right<\/span>)=0\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u89e3\u5f97<span class=\"hljs-built_in\">$<\/span>P(L<span class=\"hljs-built_in\">_<\/span>B) = 1<span class=\"hljs-built_in\">$<\/span>\uff0cB\u9009\u9879\u7adf\u7136\u53ea\u662f\u4e00\u4e2a\u5e73\u51e1\u8282\u3002\n\n        <span class=\"hljs-comment\">%\u540c\u7406\u53ef\u5f97\uff0c\u9898\u56fe\u7684HOMFLY-PT\u591a\u9879\u5f0f\u5e94\u5f53\u4e3a$m^2\\cdot \\ell^{-2} -2\\ell^{-2} - \\ell^{-4}$\uff0c\u4e0eB\u9009\u9879\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e0d\u540c\uff0c\u6240\u4ee5B\u9009\u9879\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002<\/span>\n\n        \u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u518d\u7528\u76f8\u4f3c\u7684\u65b9\u5f0f\u8ba1\u7b97\u9898\u56fe\u7684HOMFLY-PT\u591a\u9879\u5f0f\uff1a\n\n        \u53d6\u5de6\u4e0a\u4ea4\u53c9\u70b9\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u4ee4\u5176\u4ea4\u53c9\u65b9\u5411\u4e3afwd\u65b9\u5411\uff0c\u8bb0\u4e09\u4ea4\u53c9\u8282\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e3a<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Ptri<\/span><span class=\"hljs-keyword\">\\right<\/span>)<span class=\"hljs-built_in\">$<\/span>\u3002\n\n        \u63a5\u4e0b\u6765\uff0c\u627ebwd\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u540e\u9762\u7684\u7ebf\u63d0\u524d\uff0c\u89c2\u5bdf\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u5e73\u51e1\u8282\uff0c\u4e8e\u662f\n        <span class=\"hljs-keyword\">\\[<\/span>\n            P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{bwd}})=P(<span class=\"hljs-keyword\">\\Po<\/span>) = 1\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u7136\u540e\uff0c\u627esep\u9879\u3002\u5c06\u8be5\u4ea4\u53c9\u70b9\u56db\u4e2a\u7ef3\u6bb5\u65ad\u5f00\uff0c\u518d\u5c06\u539f\u6765\u6ca1\u6709\u8fde\u5728\u4e00\u8d77\u7684\u7ef3\u6bb5\u8fde\u63a5\uff0c\u7a0d\u52a0\u6574\u7406\uff0c\u53ef\u77e5\u5176\u53d8\u6210\u4e86\u4e00\u4e2a\u970d\u666e\u592b\u94fe\u73af<span class=\"hljs-built_in\">$<\/span><span class=\"hljs-keyword\">\\left<\/span>( <span class=\"hljs-keyword\">\\Phopf<\/span><span class=\"hljs-keyword\">\\right<\/span>)<span class=\"hljs-built_in\">$<\/span>\u3002\n        <span class=\"hljs-keyword\">\\[<\/span>\n            P(L<span class=\"hljs-built_in\">_<\/span>{<span class=\"hljs-keyword\">\\text<\/span>{sep}})=P<span class=\"hljs-keyword\">\\left<\/span>( <span class=\"hljs-keyword\">\\Phopf<\/span> <span class=\"hljs-keyword\">\\right<\/span>)\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u5bf9\u970d\u666e\u592b\u94fe\u73af\u5e94\u7528HOMFLY-PT\u591a\u9879\u5f0f\uff1a\n        <span class=\"hljs-keyword\">\\[<\/span>\n            <span class=\"hljs-keyword\">\\ell<\/span> P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Phopf<\/span><span class=\"hljs-keyword\">\\right<\/span>) + <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1} P(<span class=\"hljs-keyword\">\\Poo<\/span>) + mP(<span class=\"hljs-keyword\">\\Po<\/span>) = 0\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u4ee3\u5165<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Poo<\/span><span class=\"hljs-keyword\">\\right<\/span>) = - <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-keyword\">\\cdot<\/span> m<span class=\"hljs-built_in\">^<\/span>{-1} - <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-keyword\">\\cdot<\/span> m<span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-built_in\">$<\/span>\uff0c\u89e3\u5f97<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Phopf<\/span><span class=\"hljs-keyword\">\\right<\/span>) = -m<span class=\"hljs-keyword\">\\cdot<\/span><span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1} + m<span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-keyword\">\\cdot<\/span><span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-1} + m<span class=\"hljs-built_in\">^<\/span>{-1}<span class=\"hljs-keyword\">\\cdot<\/span><span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-3}<span class=\"hljs-built_in\">$<\/span>\n\n        \u518d\u4ee3\u5165\u4e09\u4ea4\u53c9\u8282\u7684HOMFLY-PT\u8868\u8fbe\u5f0f\uff1a\n        <span class=\"hljs-keyword\">\\[<\/span>\n            <span class=\"hljs-keyword\">\\ell<\/span> P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Ptri<\/span><span class=\"hljs-keyword\">\\right<\/span>)+<span class=\"hljs-keyword\">\\ell<\/span> <span class=\"hljs-built_in\">^<\/span>{-1}P(<span class=\"hljs-keyword\">\\Po<\/span>)+mP<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Phopf<\/span><span class=\"hljs-keyword\">\\right<\/span>)=0\n        <span class=\"hljs-keyword\">\\]<\/span>\n\n        \u89e3\u5f97<span class=\"hljs-built_in\">$<\/span>P<span class=\"hljs-keyword\">\\left<\/span>(<span class=\"hljs-keyword\">\\Ptri<\/span><span class=\"hljs-keyword\">\\right<\/span>) = m<span class=\"hljs-built_in\">^<\/span>2<span class=\"hljs-keyword\">\\cdot<\/span> <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-2} -2<span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-2} - <span class=\"hljs-keyword\">\\ell<\/span><span class=\"hljs-built_in\">^<\/span>{-4}<span class=\"hljs-built_in\">$<\/span>\uff0c\u4e0eB\u9009\u9879\u7684HOMFLY-PT\u591a\u9879\u5f0f\u4e0d\u540c\uff0c\u6240\u4ee5B\u9009\u9879\u4e0d\u80fd\u65e0\u635f\u4f24\u7684\u53d8\u4e3a\u9898\u56fe\u3002\n\n    <span class=\"hljs-keyword\">\\end<\/span>{method}\n\n<span class=\"hljs-keyword\">\\end<\/span>{explanation}\n\n<span class=\"hljs-keyword\">\\end<\/span>{document}\n<\/code><\/pre>\n<\/div>\n<\/div>\n<h3 id=\"\u9644\u4ef6\">\u9644\u4ef6<\/h3>\n<p>\u6b64\u6587\u4ef6\u5305\u542b\u4e09\u5f20\u56fe\u7247\uff0c\u8bf7\u5c06\u5b83\u4eec\u653e\u5728\u5de5\u4f5c\u6587\u4ef6\u5939\u7684\u5b50\u6587\u4ef6\u5939 assists \u4e2d\u4e00\u8d77\u7f16\u8bd1<\/p>\n<p><a href=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/Skein_HOMFLY.png\">\u4ea4\u53c9\u70b9\u7684\u76f8\u5bf9\u65b9\u5411<\/a><\/p>\n<p><a href=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/colored_optionD.jpg\">D\u9009\u9879\u65e0\u6cd5\u8fdb\u884c\u4e09\u8272\u67d3\u8272<\/a><\/p>\n<p><a href=\"https:\/\/lucas2011.top\/wp-content\/uploads\/2025\/01\/exercise11_unremarked.jpg\">\u516b\u7701\u8054\u800311\u9898\u539f\u9898<\/a><\/p>\n<p><script async src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex-copytex@latest\/dist\/katex-copytex.min.js\"><\/script><br \/>\n<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u53c8\u5230\u4e86\u51d1\u70ed\u95f9\u73af\u8282~ \u5728\u516b\u7701\u8054\u8003\u540e\u7684\u90a3\u4e2a\u5468\u672b\uff0c\u7528\u4e00\u4e2a\u4e0b\u5348\uff08\u63071:00~4:00\uff09\u8d76\u51fa\u6765\u7684\u8be6\u89e3\u3002 \u53c2\u8003\uff1a \u9898\u76ee\u56de\u987e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":593,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[54],"tags":[55,56,37,36,35],"class_list":["post-596","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math","tag-55","tag-topology","tag-paper-analysis","tag-highschool-academy","tag-cet"],"_links":{"self":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts\/596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/comments?post=596"}],"version-history":[{"count":0,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/posts\/596\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/media\/593"}],"wp:attachment":[{"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/media?parent=596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/categories?post=596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lucas2011.top\/index.php\/wp-json\/wp\/v2\/tags?post=596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}