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

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

2011-12-26

arxiv.org/abs/1112.5872v3

Mathematics

Dynamical Systems

More minor corrections (in the statement of Corollary 3 and the bibliography)

Scientific paper

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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