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arXiv:1104.3932 [math.DS]AbstractReferencesReviewsResources

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

Dawei Chen, Martin Moeller

Published 2011-04-20, updated 2012-07-17Version 2

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.

Comments: 41 pages. Minor change and references updated
Categories: math.DS, math.AG, math.GT
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