Twisted L2-torsion on the character variety

• Bénard, Leo ^[2] ; Raimbault, Jean ^[1]
  1. [1] Toulouse Mathematics Institute

     Toulouse Mathematics Institute

     Arrondissement de Toulouse, Francia

     
  2. [2] Georg-August Universität. Mathematisches Institut
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 66, Nº 2, 2022, págs. 857-881
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.

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