Thistlethwaite's theorem for virtual links

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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.
7 pages, many figures

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Geometric Topology, Combinatorics, 57M15, 57M27, 05C10, 05C22

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http://salesiana.dossiersoluciones.com/handle/123456789/127182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.1310
 http://arxiv.org/abs/0704.1310

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arXiv