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