2007/04/10 by Sergei Chmutov, Chmutov, Sergei, Jeremy Voltz +1
Computer Science · Mathematics · #05C10 #05C22 #57M15 #57M27 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.CO #math.GT #msc:05C10 #msc:05C22 #msc:57M15 #msc:57M27
paper · pdf · doi:10.48550/arxiv.0704.1310
7 pages, many figures
arxiv created 2007/04/10 · openalex publication_date 2007/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The celebrated Thistlethwaite theorem relates the Jones polynomial of a link with the Tutte polynomial of the corresponding planar graph. We give a generalization of this theorem to virtual links. In this case, the graph will be embedded into a (higher genus) surface. For such graphs we use the generalization of the Tutte polynomial discovered by B.Bollobas and O.Riordan.