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arXiv · 1112.5872

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

Alex Eskin·Maxim Kontsevich·Anton Zorich
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Abstract

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.

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Alex Eskin, Maxim Kontsevich, Anton Zorich. 2011-12-26. Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow. https://doi.org/10.1007/s10240-013-0060-3

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