Strata of abelian differentials and the Teichmueller dynamics (1211.5702v2)

Published 24 Nov 2012 in math.AG, math.DS, and math.GT

Abstract: This paper focuses on the interplay between the intersection theory and the Teichmueller 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 non-simple zero, and verify a number of extremal effective divisors on the moduli space of pointed curves in low genus.

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Authors (1)

Dawei Chen

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