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

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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.

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Correspondence to Jérôme Dubois.

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This work is supported in part by the Swiss National Science Foundation, the first author (J. Dubois) is also supported by the European Community with Marie Curie Intra–European Fellowship (MEIF–CT–2006–025316). While writing the paper, J. Dubois visited the CRM. He thanks the CRM for its hospitality.

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Dubois, J., Kashaev, R. On the asymptotic expansion of the colored Jones polynomial for torus knots. Math. Ann. 339, 757–782 (2007). https://doi.org/10.1007/s00208-007-0109-z

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  • DOI: https://doi.org/10.1007/s00208-007-0109-z

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