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

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dc.creatorGukov, Sergei
dc.creatorMurakami, Hitoshi
dc.date2006-08-14
dc.date2007-06-19
dc.date.accessioned2026-07-07T12:16:58Z
dc.date.available2026-07-07T12:16:58Z
dc.descriptionWe 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.
dc.description15 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0608324
dc.identifierhttp://arxiv.org/abs/math/0608324
dc.identifierLett.Math.Phys.86:79-98,2008
dc.identifierdoi:10.1007/s11005-008-0282-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211971
dc.subjectGeometric Topology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject57M27
dc.titleSL(2,C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial
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