English

Analytic torsion, dynamical zeta functions, and the Fried conjecture

Differential Geometry 2017-09-27 v3

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.

Keywords

Cite

@article{arxiv.1602.00664,
  title  = {Analytic torsion, dynamical zeta functions, and the Fried conjecture},
  author = {Shu Shen},
  journal= {arXiv preprint arXiv:1602.00664},
  year   = {2017}
}

Comments

Published version, 74 pages

R2 v1 2026-06-22T12:41:19.970Z