Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture

DOI10.1007/978-3-030-65203-6_9zbMath1484.58010OpenAlexW3161112349MaRDI QIDQ5018394

Shu Shen

Publication date: 16 December 2021

Published in: Arithmetic L-Functions and Differential Geometric Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-65203-6_9

zbMATH Keywords

Selberg trace formulaanalytic torsionindex theory and related fixed point theoremsRuelle dynamical zeta function

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Index theory and related fixed-point theorems on manifolds (58J20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

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

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