Asymptotics of the Colored Jones Polynomial and the A-Polynomial

Details Asymptotics of the Colored Jones Polynomial and the A-Polynomial Asymptotics of the Colored Jones Polynomial and the A-Polynomial

2004-07-21

arxiv.org/abs/math-ph/0407043v1

Nucl. Phys. B 773, 184--202 (2007)

Physics

Mathematical Physics

16 pages, 4 figures

Scientific paper

10.1016/j.nuclphysb.2007.03.022

We reveal a relationship between the colored Jones polynomial and the
A-polynomial for twist knots. We demonstrate that an asymptotics of the
$N$-colored Jones polynomial in large $N$ gives the potential function, and
that the A-polynomial can be computed. Also discussed is a case of torus knots.

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