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arXiv · 1104.3932

Non-varying sums of Lyapunov exponents of Abelian differentials in low genus

Dawei Chen·Martin Moeller
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Abstract

We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmueller geodesic flow is the same for all Teichmueller curves in that stratum, hence equal to the sum of Lyapunov exponents for the whole stratum. This behavior is due to the disjointness property of Teichmueller curves with various geometrically defined divisors on moduli spaces of curves.

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Dawei Chen, Martin Moeller. 2011-04-20. Non-varying sums of Lyapunov exponents of Abelian differentials in low genus. https://arxiv.org/abs/1104.3932

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