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

DOI10.2140/gt.2010.14.1129zbMath1213.30076arXiv0802.1005OpenAlexW2133697396MaRDI QIDQ969687

Katharine C. Walker

Publication date: 7 May 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1005

zbMATH Keywords

Teichmüller spacefundamental groupmoduli spacequadratic differential

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Differentials on Riemann surfaces (30F30)

Related Items (6)

Monodromy of rank 2 parabolic Hitchin systems ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Monodromy of rank 2 twisted Hitchin systems and real character varieties ⋮ MONODROMY OF THE SL₂ HITCHIN FIBRATION ⋮ Generating the spin mapping class group by Dehn twists ⋮ Connected components of strata of abelian differentials over Teichmüller space

Cites Work

• Connected components of the strata of quadratic differentials over the Teichmüller space
• Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials
• The Teichmüller geodesic flow
• Hausdorff dimension of sets of nonergodic measured foliations
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
• Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed singu\-larities
• On 2-cell imbeddings of complete n-partite graphs
• Configuration Spaces.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials