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Asymptotic of twisted Alexander polynomials and hyperbolic volume

Léo Bénard (Göttingen)

Montag, 16. Dezember 2019 16:15Uhr

Given a hyperbolic 3-manifold M of finite volume, we study a family of twisted Alexander polynomials of M. We show an asymptotic formula for the behavior of those polynomials on the unit circle, and recover the hyperbolic volume as the limit. It extends previous works of Müller (for M closed) and Menal-Ferrer--Porti. This is a joint work with Jerome Dubois, Michael Heusener (Clermont-Ferrand) and Joan Porti (Barcelona).