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

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

2011-04-20

arxiv.org/abs/1104.3932v1

Mathematics

Dynamical Systems

38 pages

Scientific paper

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. The reason for this behavior is the non-intersection property of Teichmueller curves with various geometrically defined divisors on moduli spaces of curves.

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