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Strata of abelian differentials and the Teichmüller dynamics

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  • This paper focuses on the interplay between the intersection theory and the Teichmüller dynamics on the moduli space of curves. As applications, we study the cycle class of strata of the Hodge bundle, present an algebraic method to calculate the class of the divisor parameterizing abelian differentials with a nonsimple zero, and verify a number of extremal effective divisors on the moduli space of pointed curves in low genus.
    Mathematics Subject Classification: Primary: 14H10; Secondary: 14C17.

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