Thistlethwaite's theorem for virtual links

Details Thistlethwaite's theorem for virtual links Thistlethwaite's theorem for virtual links

2007-04-10

arxiv.org/abs/0704.1310v1

Mathematics

Geometric Topology

7 pages, many figures

Scientific paper

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.

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