Remarks on Thurston's construction of pseudo-Anosov maps of Riemann surfaces

DOI10.1007/S11401-006-0491-YzbMath1146.30029OpenAlexW2077743669MaRDI QIDQ926017

Chaohui Zhang

Publication date: 26 May 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-006-0491-y

zbMATH Keywords

quasiconformal mappingsTeichmüller spacesDehn twistsmapping classespseudo-AnosovBers fiber spaces

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)

Related Items (4)

On lengths of filling closed geodesics of hyperbolic punctured Riemann spheres ⋮ Pseudo-Anosov maps and pairs of filling simple closed geodesics on Riemann surfaces. II. ⋮ Pseudo-Anosov maps and fixed points of boundary homeomorphisms compatible with a Fuchsian group ⋮ Pseudo-Anosov mapping classes and their representations by products of two Dehn twists

Cites Work

• Riemann's mapping theorem for variable metrics
• Hyperbolic 3-manifolds and surface automorphisms
• The real analytic theory of Teichmüller space
• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Dehn twists and pseudo-Anosov diffeomorphisms
• Fiber spaces over Teichmüller spaces
• Hyperbolic mapping classes and their lifts on the Bers fiber space
• A Construction of Pseudo-Anosov Homeomorphisms
• On the geometry and dynamics of diffeomorphisms of surfaces
• Non-Geodesic Discs Embedded in Teichmuller Spaces

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