The Jones polynomial and graphs on surfaces

Simple item page
dc.creatorDasbach, Oliver T.
dc.creatorFuter, David
dc.creatorKalfagianni, Efstratia
dc.creatorLin, Xiao-Song
dc.creatorStoltzfus, Neal W.
dc.date2006-05-21
dc.date2007-07-24
dc.date.accessioned2026-07-07T09:20:36Z
dc.date.available2026-07-07T09:20:36Z
dc.descriptionThe Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the link. The Bollobas-Riordan-Tutte polynomial generalizes the Tutte polynomial of planar graphs to graphs that are embedded in closed oriented surfaces of higher genus. In this paper we show that the Jones polynomial of any link can be obtained from the Bollobas-Riordan-Tutte polynomial of a certain oriented ribbon graph associated to a link projection. We give some applications of this approach.
dc.description19 pages, 9 figures, minor changes
dc.identifierhttps://arxiv.org/abs/math/0605571
dc.identifierhttp://arxiv.org/abs/math/0605571
dc.identifierJ. Comb. Theory, Series B, Vol 98/2, 2008, pp 384-399
dc.identifierdoi:10.1016/j.jctb.2007.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154773
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57M25
dc.titleThe Jones polynomial and graphs on surfaces
dc.typetext

Files

Collections

arXiv