Resumen de Twisted L2-torsion on the character variety

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.