arXiv Analytics

Sign in

arXiv:math/0608324 [math.GT]AbstractReferencesReviewsResources

SL(2,C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial

Sergei Gukov, Hitoshi Murakami

Published 2006-08-14, updated 2007-06-19Version 2

We clarify and refine the relation between the asymptotic behavior of the colored Jones polynomial and Chern-Simons gauge theory with complex gauge group SL(2,C). The precise comparison requires a careful understanding of some delicate issues, such as normalization of the colored Jones polynomial and the choice of polarization in Chern-Simons theory. Addressing these issues allows us to go beyond the volume conjecture and to verify some predictions for the behavior of the subleading terms in the asymptotic expansion of the colored Jones polynomial.

Comments: 15 pages, 7 figures
Journal: Lett.Math.Phys.86:79-98,2008
Categories: math.GT, hep-th, math.QA
Subjects: 57M27
Related articles: Most relevant | Search more
arXiv:math/0106097 [math.GT] (Published 2001-06-12)
A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial
arXiv:1103.2204 [math.GT] (Published 2011-03-11)
On the universal sl_2 invariant of boundary bottom tangles
arXiv:1008.4443 [math.GT] (Published 2010-08-26, updated 2017-05-10)
Spectral sequences of colored Jones polynomials, colored Rasmussen invariants and nanophrases

Links

Toolbox