SINGULARITIES OF QUADRATIC DIFFERENTIALS AND EXTREMAL TEICHMÜLLER MAPPINGS DEFINED BY DEHN TWISTS

DOI10.1017/S1446788709000032zbMath1182.30078arXiv0708.2371OpenAlexW2963646061MaRDI QIDQ3644374

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Publication date: 4 November 2009

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

Full work available at URL: https://arxiv.org/abs/0708.2371

zbMATH Keywords

quadratic differentialsDehn twistpseduo-Anosov map

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 (6)

On lengths of filling closed geodesics of hyperbolic punctured Riemann spheres ⋮ Pseudo-Anosov maps and pairs of filling simple closed geodesics on Riemann surfaces ⋮ Pseudo-Anosov maps and pairs of filling simple closed geodesics on Riemann surfaces. II. ⋮ ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES ⋮ A classification problem on mapping classes on fiber spaces over Teichmüller spaces ⋮ Pseudo-Anosov maps and fixed points of boundary homeomorphisms compatible with a Fuchsian group

Cites Work

• Riemann's mapping theorem for variable metrics
• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Fiber spaces over Teichmüller spaces
• On the geometry and dynamics of diffeomorphisms of surfaces
• Non-Geodesic Discs Embedded in Teichmuller Spaces

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