On the Head and the Tail of the Colored Jones Polynomial

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The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute values of the first and the last three leading coefficients of J(K,n) are independent of n when n is sufficiently large. Computation of sample knots indicates that this should be true for any fixed leading coefficient of the colored Jones polynomial for alternating knots. As a corollary we get a Volume-ish Theorem for the colored Jones Polynomial.
14 pages, 6 figures

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Geometric Topology, Quantum Algebra, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/111515

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604230
 http://arxiv.org/abs/math/0604230
 Compositio Math., Vol 142 (2006), No. 5, pp 1332-1342

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arXiv