Colored Jones polynomials with polynomial growth

Details Colored Jones polynomials with polynomial growth Colored Jones polynomials with polynomial growth

2007-11-19

arxiv.org/abs/0711.2836v2

Mathematics

Geometric Topology

17 pages, to appear in Commun. Contemp. Math

Scientific paper

The volume conjecture and its generalizations say that the colored Jones polynomial corresponding to the N-dimensional irreducible representation of sl(2;C) of a (hyperbolic) knot evaluated at exp(c/N) grows exponentially with respect to N if one fixes a complex number c near 2*Pi*I. On the other hand if the absolute value of c is small enough, it converges to the inverse of the Alexander polynomial evaluated at exp(c). In this paper we study cases where it grows polynomially.

Affiliated with

Also associated with

No associations

Rating

Colored Jones polynomials with polynomial growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Colored Jones polynomials with polynomial growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Colored Jones polynomials with polynomial growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115499