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We show that for many strata of Abelian differentials in low genus the sum ofLyapunov exponents for the Teichmueller geodesic flow is the same for allTeichmueller curves in that stratum, hence equal to the sum of Lyapunovexponents for the whole stratum. This behavior is due to the disjointnessproperty of Teichmueller curves with various geometrically defined divisors onmoduli spaces of curves.

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