On the asymptotic expansion of the colored Jones polynomial for torus knots

Dubois, Jérôme; Kashaev, Rinat Mavlyavievich

doi:10.1007/s00208-007-0109-z

Scientific article

English

On the asymptotic expansion of the colored Jones polynomial for torus knots

ContributorsDubois, Jérôme; Kashaev, Rinat Mavlyavievich

Published inMathematische Annalen, vol. 339, no. 4, p. 757-782

Collection

Open Access - Licence nationale Springer

Publication date2007

Abstract

In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern–Simons invariant and twisted Reidemeister torsion with coefficients in the adjoint representation.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

DUBOIS, Jérôme, KASHAEV, Rinat Mavlyavievich. On the asymptotic expansion of the colored Jones polynomial for torus knots. In: Mathematische Annalen, 2007, vol. 339, n° 4, p. 757–782. doi: 10.1007/s00208-007-0109-z

Article (Published version)

Identifiers

PID : unige:9784
DOI : 10.1007/s00208-007-0109-z

Additional URL for this publicationhttp://www.springerlink.com/index/10.1007/s00208-007-0109-z

Journal ISSN0025-5831

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On the asymptotic expansion of the colored Jones polynomial for torus knots

In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern–Simons invariant and twisted Reidemeister torsion with coefficients in the adjoint representation.

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