Twisted L2-torsion on the character variety

Léo Bénard; Jean Raimbault

doi:10.5565/PUBLMAT6622211

2022 Twisted

L^2

-torsion on the character variety

Léo Bénard, Jean Raimbault

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Abstract

We define a twisted $L^2$ -torsion on the character variety of a $3$ -manifold $M$ and study some of its properties. In the case where $M$ is hyperbolic of finite volume, we prove that the $L^2$ -torsion is a real-analytic function in a neighbourhood of any lift of the holonomy representation.

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Léo Bénard. Jean Raimbault. "Twisted $L^2$ -torsion on the character variety." Publ. Mat. 66 (2) 857 - 881, 2022. https://doi.org/10.5565/PUBLMAT6622211

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Received: 7 June 2021; Accepted: 28 September 2020; Published: 2022

First available in Project Euclid: 22 June 2022

MathSciNet: MR4443756

Digital Object Identifier: 10.5565/PUBLMAT6622211

Subjects:

Primary: 57M27

Secondary: 57M50

Keywords: character variety , hyperbolic 3-manifold , L2-torsion

Abstract

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