Torsion function on character varieties
Geometric Topology
2020-01-01 v2
Abstract
In this paper we define the Reidemeister torsion as a rational function on the geometric components of the character variety of a one-cusped hyperbolic manifold M. We study its poles and zeros, and we deduce sufficient conditions on the manifold M for this function being non-constant.
Keywords
Cite
@article{arxiv.1711.08781,
title = {Torsion function on character varieties},
author = {Léo Bénard},
journal= {arXiv preprint arXiv:1711.08781},
year = {2020}
}
Comments
26 pages, 5 figures, comments welcome. v2: Many corrections and improvements, Section 5.2 and Lemma 2.18 rewritten. This version is accepted for publication in Osaka Journal of Mathematics