A countable Teichmüller modular group

DOI10.1090/S0002-9947-04-03765-1zbMath1136.30011MaRDI QIDQ4671895

Katsuhiko Matsuzaki

Publication date: 27 April 2005

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

zbMATH Keywords

completenessdiscontinuitytwistpants decompositionquasiconformal mapping class groupFuchsian group of the first kindhyperbolic Riemann surfaceinfinite dimensional Teichmüller spacebounded by horocirclesRiemann surface of infinite topological typeTeichmüller modular group with only a countable number of elementstrirectangle

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 (10)

Non-stationary and discontinuous quasiconformal mapping class groups ⋮ The action of geometric automorphisms of asymptotic Teichmüller spaces ⋮ The type problem for Riemann surfaces via Fenchel–Nielsen parameters ⋮ Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces ⋮ Coherence of limit points in the fibers over the asymptotic Teichmüller space ⋮ Twists and Gromov hyperbolicity of Riemann surfaces ⋮ The Nielsen realization problem for asymptotic Teichmüller modular groups ⋮ On various Teichmüller spaces of a surface of infinite topological type ⋮ Geodesically Complete Hyperbolic Structures ⋮ A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

Cites Work

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• The length spectra as moduli for compact Riemann surfaces
• The infinite direct product of Dehn twists acting on infinite dimensional Teichmüller spaces
• Hyperbolic Structures for Surfaces of Infinite Type
• Limit sets and regions of discontinuity of Teichmüller modular groups
• Geometry and spectra of compact Riemann surfaces

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