Home > Search Results: Bénard, Léo
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Articles 2 records found  
1.
46 p, 779.4 KB Asymptotics of twisted Alexander polynomials and hyperbolic volume / Bénard, Léo (Georg-August Universität. Mathematisches Institut) ; Dubois, Jérôme (Centre National de la Recherche Scientifique. Université Clermont Auvergne) ; Heusener, Michael (Centre National de la Recherche Scientifique. Université Clermont Auvergne) ; Porti, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavior of these twisted Alexander polynomials evaluated at unit complex numbers, yielding the volume of the knot exterior. [...]
2022 - 10.1512/iumj.2022.71.8937
Indiana University mathematics journal, Vol. 71, Issue 3 (2022) , p. 1155-1207  
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2.
25 p, 411.7 KB Twisted L2-torsion on the character variety / Bénard, Léo (Georg-August Universität. Mathematisches Institut) ; Raimbault, Jean (Institut de Mathématiques de Toulouse)
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.
2022 - 10.5565/PUBLMAT6622211
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 857-881 (Articles)  
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