Back to Search Start Over

Representations and the colored Jones polynomial of a torus knot

Authors :
Hikami, Kazuhiro
Murakami, Hitoshi
Publication Year :
2010

Abstract

We show that for a torus knot the SL(2;C) Chern-Simons invariants and the SL(2;C) twisted Reidemeister torsions appear in an asymptotic expansion of the colored Jones polynomial. This suggests a generalization of the volume conjecture that relates the asymptotic behavior of the colored Jones polynomial of a knot to the volume of the knot complement.<br />Comment: 18 pages, 1 figure, submitted to the Proceedings of the workshop "Chern-Simons Gauge Theory: 20 Years After"

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1001.2680
Document Type :
Working Paper