Colored Jones polynomials with polynomial growth

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dc.creatorHikami, Kazuhiro
dc.creatorMurakami, Hitoshi
dc.date2007-11-19
dc.date2008-04-19
dc.date.accessioned2026-07-07T09:33:16Z
dc.date.available2026-07-07T09:33:16Z
dc.descriptionThe volume conjecture and its generalizations say that the colored Jones polynomial corresponding to the N-dimensional irreducible representation of sl(2;C) of a (hyperbolic) knot evaluated at exp(c/N) grows exponentially with respect to N if one fixes a complex number c near 2*Pi*I. On the other hand if the absolute value of c is small enough, it converges to the inverse of the Alexander polynomial evaluated at exp(c). In this paper we study cases where it grows polynomially.
dc.description17 pages, to appear in Commun. Contemp. Math
dc.identifierhttps://arxiv.org/abs/0711.2836
dc.identifierhttp://arxiv.org/abs/0711.2836
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159072
dc.subjectGeometric Topology
dc.subjectMathematical Physics
dc.subject57M27
dc.titleColored Jones polynomials with polynomial growth
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