%0 Journal Article
%T Thistlethwaite's theorem for virtual links
%A Sergei Chmutov
%A Jeremy Voltz
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0704.1310v1