Walks Along Braids and the Colored Jones Polynomial
Geometric Topology
2015-03-17 v2
Abstract
Using the Huynh and Le quantum determinant description of the colored Jones polynomial, we construct a new combinatorial description of the colored Jones polynomial in terms of walks along a braid. We then use this description to show that for a knot which is the closure of a positive braid, the first N coefficients of the N-th colored Jones polynomial are trivial.
Cite
@article{arxiv.1101.3810,
title = {Walks Along Braids and the Colored Jones Polynomial},
author = {Cody Armond},
journal= {arXiv preprint arXiv:1101.3810},
year = {2015}
}
Comments
15 pages; a theorem and corresponding section removed in v2