Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists
Differential Geometry
2021-06-02 v1 Dynamical Systems
Abstract
We show an equality between the analytic torsion and the absolute value at the zero point of the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an acyclic flat vector bundle obtained by the restriction of a representation of the underlying Lie group. This generalises author's previous result for unitarily flat vector bundles, and the results of Br\"ocker, M\"uller, and Wotzke on closed hyperbolic manifolds.
Cite
@article{arxiv.2009.04897,
title = {Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists},
author = {Shu Shen},
journal= {arXiv preprint arXiv:2009.04897},
year = {2021}
}
Comments
40 pages. arXiv admin note: text overlap with arXiv:2009.03427