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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
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