The Colored Jones Polynomial and the A-Polynomial of Knots

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We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots. Some properties of the colored Jones polynomial of alternating knots are established.
Typos and minor mistakes corrected. To appear in Advances in Mathematics

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Geometric Topology, Quantum Algebra, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/100830

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407521
 http://arxiv.org/abs/math/0407521

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arXiv