A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

DOI10.1090/S0002-9939-07-08761-8zbMath1111.30023MaRDI QIDQ3438122

Katsuhiko Matsuzaki

Publication date: 15 May 2007

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

zbMATH Keywords

asymptotic Teichmüller spacequasiconformal mapping class groupanalytically infinite Riemann surface

Mathematics Subject Classification ID

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

Related Items (4)

The action of geometric automorphisms of asymptotic Teichmüller spaces ⋮ Pure mapping class group acting on Teichmüller space ⋮ Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces ⋮ The Nielsen realization problem for asymptotic Teichmüller modular groups

Cites Work

• The action of geometric automorphisms of asymptotic Teichmüller spaces
• Biholomorphic maps between Teichmüller spaces
• Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces
• Symmetric Structures on a Closed Curve
• A countable Teichmüller modular group
• Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces
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