The colored Jones polynomials and the Alexander polynomial of the figure-eight knot

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dc.creatorMurakami, Hitoshi
dc.date2005-02-20
dc.date.accessioned2026-07-07T08:34:15Z
dc.date.available2026-07-07T08:34:15Z
dc.descriptionThe volume conjecture and its generalization state that the series of certain evaluations of the colored Jones polynomials of a knot would grow exponentially and its growth rate would be related to the volume of a three-manifold obtained by Dehn surgery along the knot. In this paper, we show that for the figure-eight knot the series converges in some cases and the limit equals the inverse of its Alexander polynomial.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0502428
dc.identifierhttp://arxiv.org/abs/math/0502428
dc.identifierJP J. Geom. Topol. 2 (2007), 249--269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139368
dc.subjectGeometric Topology
dc.subject57M27;57M25
dc.titleThe colored Jones polynomials and the Alexander polynomial of the figure-eight knot
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