The Lyapunov exponents of Teichmüller flow (following Eskin-Kontsevich-Zorich)

Abstract : The purpose of the paper under review is to explain the main ideas and the main ingredients of the involved and delicate work of A. Eskin, M. Kontsevich and A. Zorich concerning the sum of the positive Lyapunov exponents of the so-called Kontsevich- Zorich cocycle acting on the first cohomology spaces of translation surfaces.
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  • HAL Id : hal-01299393, version 1

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Pascal Hubert, Julien Grivaux. The Lyapunov exponents of Teichmüller flow (following Eskin-Kontsevich-Zorich). Asterisque, Société Mathématique de France, 2014, 361 (1060), pp.43-75. ⟨http://smf4.emath.fr/Publications/Asterisque/2014/361/html/smf_ast_361.php⟩. ⟨hal-01299393⟩

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