Colored Jones polynomials with polynomial growth

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The 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.
17 pages, to appear in Commun. Contemp. Math

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Geometric Topology, Mathematical Physics, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/159072

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2836
 http://arxiv.org/abs/0711.2836

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arXiv