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

Open access

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

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

Commercial URLhttp://www.springerlink.com/index/10.1007/s00208-007-0109-z

ISSN of the journal0025-5831

567views

156downloads

Creation07/05/2010 2:55:00 PM

First validation07/05/2010 2:55:00 PM

Update time03/14/2023 3:55:45 PM

Status update03/14/2023 3:55:45 PM

Last indexation08/28/2023 7:02:10 PM

Archive ouverte UNIGE

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.

Technical informations