On holomorphic sections in Teichmüller spaces

DOI10.1007/s10114-009-0445-xzbMath1187.32011OpenAlexW2082654049MaRDI QIDQ2266846

Ming Feng Sun, Yuliang Shen

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-0445-x

zbMATH Keywords

Teichmüller spaceholomorphic sectionTeichmüller curveBers fiber spacepuncture-forgetting mapping

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

Twists and Gromov hyperbolicity of Riemann surfaces

Cites Work

• An isomorphism theorem for Teichmüller curves
• Isomorphisms of fiber spaces over Teichmüller spaces
• Biholomorphic isomorphisms between Teichmüller curves
• On sections of some holomorphic families of closed Riemann surfaces
• Conformally natural extension of homeomorphisms of the circle
• Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group
• Fiber spaces over Teichmüller spaces for Fuchsian groups with elliptic elements
• A non-standard integral equation with applications to quasi-conformal mappings
• On holomorphic cross-sections in Teichmüller spaces
• Fiber spaces over Teichmüller spaces
• Symmetric Structures on a Closed Curve
• Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces
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