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math.DS2012★ 5 cited
Quadratic differentials in low genus: exceptional and non-varying
Dawei Chen, Martin Moeller
We give an algebraic way of distinguishing the components of the exceptional strata of quadratic differentials in genus three and four. The complete list of these strata is (9, -1)…
math.DS2011★ 5 cited
Non-varying sums of Lyapunov exponents of Abelian differentials in low genus
Dawei Chen, Martin Moeller
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…