Asymptotics of the Colored Jones Polynomial and the A-Polynomial
Mathematical Physics
2010-03-11 v1 math.MP
Abstract
We reveal a relationship between the colored Jones polynomial and the A-polynomial for twist knots. We demonstrate that an asymptotics of the -colored Jones polynomial in large gives the potential function, and that the A-polynomial can be computed. Also discussed is a case of torus knots.
Keywords
Cite
@article{arxiv.math-ph/0407043,
title = {Asymptotics of the Colored Jones Polynomial and the A-Polynomial},
author = {Kazuhiro Hikami},
journal= {arXiv preprint arXiv:math-ph/0407043},
year = {2010}
}
Comments
16 pages, 4 figures