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Pré-Publication, Document De Travail Publications Mathématiques de L'IHÉS Année : 2014

Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow

Résumé

We compute the sum of the positive Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow. The computation is based on the analytic Riemann-Roch Theorem and uses a comparison of determinants of flat and hyperbolic Laplacians when the underlying Riemann surface degenerates.

Dates et versions

hal-00709692 , version 1 (19-06-2012)

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Alex Eskin, Maxim Kontsevich, Anton Zorich. Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow. 2012. ⟨hal-00709692⟩
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