Lower bounds for Lyapunov exponents of flat bundles on curves

DOI10.2140/gt.2018.22.2299zbMath1386.37036arXiv1609.01170OpenAlexW3104887487WikidataQ101222859 ScholiaQ101222859MaRDI QIDQ1746387

Maxim Kontsevich, Alex Eskin, Anton Zorich, Martin Möller

Publication date: 25 April 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01170

zbMATH Keywords

Lyapunov exponenthypergeometric differential equationparabolic structureHodge bundle

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Hodge numbers from Picard-Fuchs equations, Families of K3 surfaces and Lyapunov exponents, Eisenstein series twisted with non-expanding cusp monodromies, Global properties of some weight 3 variations of Hodge structure, A cyclotomic family of thin hypergeometric monodromy groups in \({\mathrm{Sp}}_4({\mathbb{R}})\), Calabi-Yau operators of degree two, Lyapunov exponents, holomorphic flat bundles and de Rham moduli space, Eigenvalues of curvature, Lyapunov exponents and Harder-Narasimhan filtrations, Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy, Parabolic Degrees and Lyapunov Exponents for Hypergeometric Local Systems, On fibrations approaching the Arakelov equality, Teichm\"uller dynamics in the eyes of an algebraic geometer, Geometry and dynamics on Riemann and \(K3\) surfaces

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