The Nielsen realization problem for asymptotic Teichmüller modular groups

DOI10.1090/S0002-9947-2013-05767-4zbMath1273.30035MaRDI QIDQ2838124

Katsuhiko Matsuzaki, Ege Fujikawa

Publication date: 8 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Teichmüller spaceRiemann surfacehyperbolic geometryquasiconformal mapping class group

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• The order of periodic elements of Teichmüller modular groups
• Realization of the mapping class group by homeomorphisms
• Existence of quasiconformal mappings between Riemann surfaces
• Biholomorphic maps between Teichmüller spaces
• Über extremale quasikonforme Abbildungen
• Inclusion relations between the Bers embeddings of Teichmüller spaces
• The Teichmüller space of the ideal boundary
• Stable quasiconformal mapping class groups and asymptotic Teichmüller spaces
• Teichmüller mapping class group of the universal hyperbolic solenoid
• A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space
• Pure mapping class group acting on Teichmüller space
• Symmetric Structures on a Closed Curve
• A countable Teichmüller modular group
• On rigidity of an end under conformal mappings preserving the infinite homology basis
• Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces
• Quasisymmetric groups
• The Nielsen realization problem

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