Zeta functions in higher Teichmüller theory

DOI10.1007/s00209-024-03437-4arXiv2203.15741OpenAlexW4391563025MaRDI QIDQ6120408

Richard Sharp, Mark Pollicott

Publication date: 20 February 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15741

zbMATH Keywords

Fuchsian groupsSelberg zeta functionsurface groups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Teichmüller theory for Riemann surfaces (30F60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Fuchsian and Kleinian groups as dynamical systems (37F32)

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