Thistlethwaite's theorem for virtual links
Geometric Topology
2007-05-23 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.0704.1310,
title = {Thistlethwaite's theorem for virtual links},
author = {Sergei Chmutov and Jeremy Voltz},
journal= {arXiv preprint arXiv:0704.1310},
year = {2007}
}
Comments
7 pages, many figures