The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial

Details The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial

2002-01-11

arxiv.org/abs/math/0201100v1

Mathematics

Geometric Topology

15 pages, Latex, 13 figures

Scientific paper

The noncommutative A-ideal of a knot is a generalization of the A-polynomial, defined using Kauffman bracket skein modules. In this paper we show that any knot that has the same noncommutative A-ideal as the (2,2p+1)-torus knot has the same colored Jones polynomials. This is a consequence of the orthogonality relation, which yields a recursive relation for computing all colored Jones polynomials of the knot.

Affiliated with

Also associated with

No associations

Rating

The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial 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 The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279346