Twisted L2-torsion on the character variety

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Leo Bénard
Jean Raimbault

We define a twisted L2 -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 L2-torsion is a real-analytic function in a neighbourhood of any lift of the holonomy representation.

Paraules clau
hyperbolic 3-manifold, L2-torsion, character variety

Article Details

Com citar
Bénard, Leo; Raimbault, Jean. «Twisted L2-torsion on the character variety». Publicacions Matemàtiques, 2022, vol.VOL 66, núm. 2, p. 857-81, https://raco.cat/index.php/PublicacionsMatematiques/article/view/402273.
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