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arXiv:1611.07728 [math.DS]AbstractReferencesReviewsResources

Lyapunov exponents of the Hodge bundle over strata of quadratic differentials with large number of poles

Charles Fougeron

Published 2016-11-23Version 1

We show an upper bound for the sum of positive Lyapunov exponents of any Teichm\"uller curve in strata of quadratic differentials with at least one zero of large multiplicity. As a corollary it stands for all Teichm\"uller curves in these strata and $SL(2,\mathbb R)$ invariant subspaces defined over $\mathbb Q$. This solves Grivaux-Hubert's conjecture about the asymptotics of Lyapunov exponents for strata with large number of poles in the situation when at least one zero has large multiplicity.

Categories: math.DS
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