Walks Along Braids and the Colored Jones Polynomial

Details Walks Along Braids and the Colored Jones Polynomial Walks Along Braids and the Colored Jones Polynomial

2011-01-20

arxiv.org/abs/1101.3810v2

Mathematics

Geometric Topology

15 pages; a theorem and corresponding section removed in v2

Scientific paper

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.

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