2024
DOI: 10.2140/apde.2024.17.2619
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Dynamical torsion for contact Anosov flows

Yann Chaubet,
Nguyen Viet Dang

Abstract: We introduce a new object, the dynamical torsion, which extends the potentially ill-defined value at 0 of the Ruelle zeta function of a contact Anosov flow, twisted by an acyclic representation of the fundamental group. We show important properties of the dynamical torsion: it is invariant under deformations among contact Anosov flows, it is holomorphic in the representation and it has the same logarithmic derivative as some refined combinatorial torsion of Turaev. This shows that the ratio between this torsio… Show more

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