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arXiv · 2009.04897

Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists

Shu Shen
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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.

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Shu Shen. 2020-09-09. Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists. https://doi.org/10.1007/s00220-021-04113-y

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