Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials

Walker, Katharine C

doi:10.2140/gt.2010.14.1129

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials

Katharine C Walker

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 2000

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

Katharine C Walker
Center for Communications Research 4320 Westerra Court San Diego, CA 92121

Volume 14, issue 2 (2010)