Entropy on Riemann surfaces and the Jacobians of finite covers

DOI10.4171/CMH/308zbMath1285.32006OpenAlexW1969069513MaRDI QIDQ2436074

Curtis T. McMullen

Publication date: 21 February 2014

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/308

zbMATH Keywords

entropyTeichmüller spacehomologyKobayashi metricSiegel spacepseudo-Anosov maps

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (18)

Teichmüller spaces and bounded symmetric domains do not mix isometrically ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ Virtual homological spectral radius and mapping torus of pseudo-Anosov maps ⋮ Virtual homological eigenvalues and the Weil-Petersson translation length ⋮ Limit of Bergman kernels on a tower of coverings of compact Kähler manifolds ⋮ Surface automorphisms and finite covers ⋮ Arithmetic quotients of the automorphism group of a right-angled Artin group ⋮ Teichmüller dynamics and unique ergodicity via currents and Hodge theory ⋮ Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers ⋮ Virtual homological spectral radii for automorphisms of surfaces ⋮ Asymptotic linearity of the mapping class group and a homological version of the Nielsen-Thurston classification ⋮ The complex geometry of Teichmüller spaces and bounded symmetric domains ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ Canonical measures on metric graphs and a Kazhdan's theorem ⋮ An effective Lie-Kolchin theorem for quasi-unipotent matrices ⋮ Non virtually solvable subgroups of mapping class groups have non virtually solvable representations ⋮ Limits of canonical forms on towers of Riemann surfaces ⋮ Simple closed curves, finite covers of surfaces, and power subgroups of \(\mathrm{Out}(F_n)\)

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