Limit values of the non-acyclic Reidemeister torsion for knots
Geometric Topology
2014-10-01 v5
Abstract
We consider the Reidemeister torsion associated with SL(2, C)-representations of a knot group. A bifurcation point in the SL(2, C)-character variety of a knot group is a character which is given by both an abelian SL(2, C)-representation and a non-abelian one. We show that there exist limits of the non-acyclic Reidemeister torsion at bifurcation points and the limits are expressed by using the derivation of the Alexander polynomial of the knot in this paper.
Keywords
Cite
@article{arxiv.math/0512277,
title = {Limit values of the non-acyclic Reidemeister torsion for knots},
author = {Yoshikazu Yamaguchi},
journal= {arXiv preprint arXiv:math/0512277},
year = {2014}
}
Comments
to appear in Algebraic and Geometric Topology