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2018 Analytic torsion, dynamical zeta functions, and the Fried conjecture
Shu Shen
Anal. PDE 11(1): 1-74 (2018). DOI: 10.2140/apde.2018.11.1

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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Shu Shen. "Analytic torsion, dynamical zeta functions, and the Fried conjecture." Anal. PDE 11 (1) 1 - 74, 2018. https://doi.org/10.2140/apde.2018.11.1

Information

Received: 14 February 2016; Revised: 16 June 2017; Accepted: 17 July 2017; Published: 2018
First available in Project Euclid: 20 December 2017

zbMATH: 1378.58022
MathSciNet: MR3707290
Digital Object Identifier: 10.2140/apde.2018.11.1

Subjects:
Primary: 11F72, 11M36, 37C30, 58J20, 58J52

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.11 • No. 1 • 2018
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