Geometry & Topology 14 (2010) 1129–1164

DOI: 10.2140/gt.2010.14.1129

Abstract

In this paper, we study fundamental groups of strata of the moduli space of quadratic differentials. We use certain properties of the Abel–Jacobi map, combined with local surgeries on quadratic differentials, to construct quotient groups of the fundamental groups for a particular family of strata.

Keywords

quadratic differential, Teichmüller space, fundamental group

Mathematical Subject Classification

Primary: 30F30

Secondary: 14D20

References

Publication

Received: 23 May 2008
Revised: 19 November 2009
Accepted: 22 March 2010
Published: 2 May 2010
Proposed: Benson Farb
Seconded: Danny Calegari, Joan Birman

Authors