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arXiv:1112.5872 [math.DS]AbstractReferencesReviewsResources

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

Alex Eskin, Maxim Kontsevich, Anton Zorich

Published 2011-12-26, updated 2013-09-30Version 6

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.

Comments: Minor corrections. To appear in Publications mathematiques de l'IHES
Journal: Publications de l'IHES (2014) vol. 120, issue 1
Categories: math.DS, math.AG, math.GT
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