Teichmüller spaces and holomorphic motions

DOI10.1007/BF02788984zbMath0966.32009OpenAlexW1966839829MaRDI QIDQ1591318

Sudeb Mitra

Publication date: 6 August 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788984

zbMATH Keywords

Teichmüller spacesquasiconformal mapholomorphic motion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (10)

Guiding isotopies and holomorphic motions ⋮ Extensions of holomorphic motions and holomorphic families of Möbius groups ⋮ Regularity of Hausdorff measure function for conformal dynamical systems ⋮ Carathéodory metric on some generalized Teichmüller spaces ⋮ Fredholm eigenvalues and quasiconformal geometry of polygons ⋮ Variation of moduli under continuous motions ⋮ Monodromy, liftings of holomorphic maps, and extensions of holomorphic motions ⋮ Quasiconformal motions and isomorphisms of continuous families of Möbius groups ⋮ Teichmüller contraction in the Teichmüller space of a closed set in the sphere. ⋮ Extensions of holomorphic motions

Cites Work

• Riemann's mapping theorem for variable metrics
• The Torelli spaces of punctured tori and spheres
• Extending holomorphic motions
• Holomorphic families of injections
• Universal covering maps for variable regions
• Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
• Conformally natural extension of homeomorphisms of the circle
• The Bers projection and the \(\lambda\)-lemma
• On the dynamics of rational maps
• Holomorphic Motions and Polynomial Hulls
• Holomorphic Motions and Teichmuller Spaces
• Infinitesimal teichmüller geometry
• Topologies for Homeomorphism Groups
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