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The purpose of the paper under review is to explain the main ideas and themain ingredients of the involved and delicate work of A. Eskin, M. Kontsevichand A. Zorich concerning the sum of the positive Lyapunov exponents of theso-called Kontsevich- Zorich cocycle acting on the first cohomology spaces oftranslation surfaces.

Les exposants de Liapounoff du flot de Teichm\"{u}ller