{"id":447,"date":"2017-11-16T03:13:18","date_gmt":"2017-11-16T03:13:18","guid":{"rendered":"http:\/\/pages.charlotte.edu\/colloquium\/?p=447"},"modified":"2017-11-22T02:56:36","modified_gmt":"2017-11-22T02:56:36","slug":"friday-dec-1st-400pm-500pm-conference-room","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2017\/11\/16\/friday-dec-1st-400pm-500pm-conference-room\/","title":{"rendered":"Friday, Dec 1st, 4:00PM-5:00PM, Fretwell 206"},"content":{"rendered":"<table width=\"637\">\n<tbody>\n<tr>\n<td>Professor: <a href=\"http:\/\/homepages.math.uic.edu\/~kauffman\/\">Louis H Kauffman<\/a>,\u00a0<a href=\"http:\/\/www.math.uic.edu\/\">Department of Mathematics, Statistics, and Computer Science <\/a><a href=\"http:\/\/www.uic.edu\/\">University of Illinois at Chicago<\/a><\/td>\n<\/tr>\n<tr>\n<td>Title:<a name=\"m_-6758539435527812225_OLE_LINK4\"><\/a>Graphical Invariants of Knots and Links<\/td>\n<\/tr>\n<tr>\n<td>Abstract:<span style=\"font-size: inherit\">This talk is joint work with Qingying Deng.\u00a0We generalize the signed Tutte polynomial relationship with the Kauffman bracket model of the Jones polynomial to\u00a0\u00a0a new polynomial defined on signed cyclic graphs (graphs with signed edges and cyclic orders at the vertices) and show how these graphs\u00a0<\/span><span style=\"font-size: inherit\">are codings for checkerboard colorable virtual links. We show how virtualization of classical links corresponds to simple operations on the planar signed cyclic graphs.\u00a0We relate our new polynomial invariant to both the bracket polynomials for virtual knots and links and to the Bollobas-Riordan polynomial.<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Professor: Louis H Kauffman,\u00a0Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago Title:Graphical Invariants of Knots and Links Abstract:This talk is joint work with Qingying Deng.\u00a0We generalize the signed Tutte polynomial relationship with the Kauffman bracket model of the Jones polynomial to\u00a0\u00a0a new polynomial defined on signed cyclic graphs (graphs with signed [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-447","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-7d","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/447","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=447"}],"version-history":[{"count":2,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/447\/revisions"}],"predecessor-version":[{"id":450,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/447\/revisions\/450"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=447"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=447"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}