Twisted $L^2$-torsion on the character variety
Geometric Topology
2020-09-15 v1
Abstract
We define a twisted -torsion on the character variety of 3-manifold and study some of its properties. In the case where is hyperbolic of finite volume, we prove that the -torsion is a real analytic function on a neighborhood of any lift of the holonomy representation.
Keywords
Cite
@article{arxiv.2009.06581,
title = {Twisted $L^2$-torsion on the character variety},
author = {Léo Bénard and Jean Raimbault},
journal= {arXiv preprint arXiv:2009.06581},
year = {2020}
}