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

2005/10/27 by Jérôme Dubois, Dubois, Jérôme, Rinat Kashaev +1
Mathematics · #57M27 #57Q10 #58J28 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0510607

openalex publication_date 2005/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 invaraint and Reidemeister torsion.

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