Thistlethwaite's theorem for virtual links

Sergei Chmutov; Jeremy Voltz

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arXiv · 0704.1310

Thistlethwaite's theorem for virtual links

Sergei Chmutov·Jeremy Voltz

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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.

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Sergei Chmutov, Jeremy Voltz. 2007-04-10. Thistlethwaite's theorem for virtual links. https://arxiv.org/abs/0704.1310

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