A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle

DOI10.3934/jmd.2011.5.355zbMath1238.30031arXiv1009.4655OpenAlexW2962966608MaRDI QIDQ639884

Publication date: 11 October 2011

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4655

zbMATH Keywords

Kontsevich-Zorich cocycle Teichmüller geodesic flow non-uniform hyperbolicity moduli space of abelian differentials

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) General geometric structures on low-dimensional manifolds (57M50) Variation of Hodge structures (algebro-geometric aspects) (14D07) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Differentials on Riemann surfaces (30F30)

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