Nahm sums, stability and the colored Jones polynomial

Details Nahm sums, stability and the colored Jones polynomial Nahm sums, stability and the colored Jones polynomial

2011-12-16

arxiv.org/abs/1112.3905v1

Mathematics

Geometric Topology

Latex, 45 pages and 102 figures

Scientific paper

Nahm sums are $q$-series of a special hypergeometric type that appear in character formulas in Conformal Field Theory, and give rise to elements ot the Bloch group, and have interesting modularity properties. In our paper, we show how Nahm sums arise natural in Quantum Knot Theory, namely we prove the stability of the coefficients of an alternating link and present a Nahm sum formula for the resulting power series, defined in terms of a reduced, downward diagram of an alternating link. The Nahm sum formula comes with a computer implementation, illustrated in numerous examples of proven or conjectural identities among $q$-series.

Affiliated with

Also associated with

No associations

Rating

Nahm sums, stability and the colored 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 Nahm sums, stability and the colored Jones polynomial, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nahm sums, stability and the colored Jones polynomial will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137452