Strata of abelian differentials and the Teichmüller dynamics

Dawei Chen

doi:10.3934/jmd.2013.7.135

Article Contents

2013, Volume 7, Issue 1: 135-152. Doi: 10.3934/jmd.2013.7.135

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Strata of abelian differentials and the Teichmüller dynamics

Dawei Chen^1,

1.
Department of Mathematics, Boston College, Chestnut Hill, MA 02467

Received: December 31, 2012

Published: April 2013

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Abstract

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.

Keywords:

Abelian differentials,
moduli space of curves.

Mathematics Subject Classification: Primary: 14H10; Secondary: 14C17.

Citation:

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