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Weierstrass filtration on Teichmüller curves and Lyapunov exponents

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  • We define the Weierstrass filtration for Teichmüller curves and construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichmüller curve in hyperelliptic loci and low-genus nonvarying strata. As a result we obtain the sum of Lyapunov exponents of Teichmüller curves in these strata.
    Mathematics Subject Classification: Primary: 32G15; Secondary: 14H10.


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