Abstract
Given an acyclic and unitarily flat vector bundle on a closed manifold, Fried conjectured an equality between the analytic torsion and the value at zero of the Ruelle zeta function associated to a dynamical flow. In this survey, we review the Fried conjecture for different flows, including the suspension flow, the Morse–Smale flow, the geodesic flow, and the Anosov flow.
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Shen, S. (2021). Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture. In: Charollois, P., Freixas i Montplet, G., Maillot, V. (eds) Arithmetic L-Functions and Differential Geometric Methods . Progress in Mathematics, vol 338. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-65203-6_9
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DOI: https://doi.org/10.1007/978-3-030-65203-6_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-65202-9
Online ISBN: 978-3-030-65203-6
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