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

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dc.creatorChmutov, Sergei
dc.creatorPak, Igor
dc.date2006-09-01
dc.date.accessioned2026-07-07T07:24:23Z
dc.date.available2026-07-07T07:24:23Z
dc.descriptionWe 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.
dc.descriptionThis 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
dc.identifierhttps://arxiv.org/abs/math/0609012
dc.identifierhttp://arxiv.org/abs/math/0609012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116332
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57M25; 05C10
dc.titleThe Kauffman bracket of virtual links and the Bollobás-Riordan polynomial
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