The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial

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We show that the Kauffman bracket $[L]$ of a checkerboard colorable virtual link $L$ is an evaluation of the Bollobás-Riordan polynomial $R_{G_L}$ of a ribbon graph associated with $L$. This result generalizes Thistlethwaite's celebrated theorem relating the Kauffman bracket with the Tutte polynomial of planar graphs.
This is a completely rewritten version of the previos preprint math.GT/0404475 oriented to topological applications to virtual links. To be published in the Moscow Mathematical Journal

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Geometric Topology, Combinatorics, 57M25; 05C10

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http://salesiana.dossiersoluciones.com/handle/123456789/116332

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609012
 http://arxiv.org/abs/math/0609012

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arXiv