On extendibility of a map induced by the Bers isomorphism

DOI10.1090/S0002-9939-2014-12140-XzbMath1305.30023arXiv1402.5315OpenAlexW2093990110MaRDI QIDQ2930628

Hideki Miyachi, Toshihiro Nogi

Publication date: 19 November 2014

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

Full work available at URL: https://arxiv.org/abs/1402.5315

zbMATH Keywords

Teichmüller spaceBers fiber spaceBers isomorphism, curve complex, Kleinian groups

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Hyperbolic groups and nonpositively curved groups (20F67) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• The classification of Kleinian surface groups. II: The Ending lamination conjecture
• The universal Cannon-Thurston map and the boundary of the curve complex
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• Continuity of Thurston's length function
• Smoothability of the conformal boundary of a Lorentz surface implies `global smoothability'
• Geometry of the complex of curves. I: Hyperbolicity
• Geometric finiteness theorems via controlled topology
• Fiber spaces over Teichmüller spaces
• Comparison of hyperbolic and extremal lengths
• Finite dimensional Teichmüller spaces and generalizations
• On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
• Non-Extendibility of the Bers Isomorphism
• Geometry and spectra of compact Riemann surfaces

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