Connected components of the strata of quadratic differentials over the Teichmüller space

DOI10.1007/s10711-009-9357-2zbMath1182.30070arXiv0805.0434OpenAlexW1967329551MaRDI QIDQ735046

Katharine C. Walker

Publication date: 14 October 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0434

zbMATH Keywords

connected componentsTeichmüller spacequadratic differentials

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Related Items (5)

Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials ⋮ Generating the spin mapping class group by Dehn twists ⋮ Connected components of strata of abelian differentials over Teichmüller space ⋮ Holomorphic quadratic differentials in Teichmüller theory

Cites Work

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• Moduli spaces of quadratic differentials
• Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials
• Interval exchange transformations and measured foliations
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• Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Parity of the spin structure defined by a quadratic differential
• Connected components of the strata of the moduli spaces of quadratic differentials
• Spin Structures and Quadratic forms on Surfaces
• On the Dimension of Varieties of Special Divisors

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