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Analytic torsion, dynamical zeta functions, and the Fried conjecture
Published 1 Feb 2016 in math.DG | (1602.00664v3)
Abstract: We prove the equality of the analytic torsion and the value at zero of a Ruelle dynamical zeta function associated with an acyclic unitarily flat vector bundle on a closed locally symmetric reductive manifold. This solves a conjecture of Fried. This article should be read in conjunction with an earlier paper by Moscovici and Stanton.
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