Non-abelian Reidemeister torsion for twist knots
Geometric Topology
2008-03-09 v3
Abstract
This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist knots, we also prove that the non-abelian Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot.
Keywords
Cite
@article{arxiv.0706.2213,
title = {Non-abelian Reidemeister torsion for twist knots},
author = {Jérôme Dubois and Vu Huynh and Yoshikazu Yamaguchi},
journal= {arXiv preprint arXiv:0706.2213},
year = {2008}
}
Comments
36 pages and 4 figures. Title and Abstract are modified. typos and inconsistent notations corrected. minor changes. to appear in Journal of Knot Theory and Its Ramifications