The action of geometric automorphisms of asymptotic Teichmüller spaces

DOI10.1307/mmj/1156345593zbMath1115.30051OpenAlexW1997655835MaRDI QIDQ874427

Ege Fujikawa

Publication date: 5 April 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1156345593

zbMATH Keywords

Teichmüller spaceRiemann surfacelimit setsTeichmüller modular groupinfinite typeasymptotically conformalupper bound conditionlower bound conditionQuasiconformal mappings

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)

Related Items

Non-stationary and discontinuous quasiconformal mapping class groups, Geodesic disks in the universal asymptotic Teichmüller space, Pure mapping class group acting on Teichmüller space, Length spectrum characterization of asymptotic Teichmüller space, 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, On nonuniqueness of geodesics in asymptotic Teichmüller space, A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

Cites Work

• The length spectra as moduli for compact Riemann surfaces
• Quasiconformal mappings of \(Y\)-pieces.
• On the action of the mapping class group for Riemann surfaces of infinite type
• The infinite direct product of Dehn twists acting on infinite dimensional Teichmüller spaces
• A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space
• Symmetric Structures on a Closed Curve
• Limit sets and regions of discontinuity of Teichmüller modular groups
• A countable Teichmüller modular group
• Recurrent and periodic points for isometries of L^\infty spaces
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