Models of ends of hyperbolic 3-manifolds. A survey

DOI10.4171/203-1/6zbMath1446.30068OpenAlexW2999982634MaRDI QIDQ784796

Mahan Mitra

Publication date: 3 August 2020

Full work available at URL: https://doi.org/10.4171/203-1/6

zbMATH Keywords

Teichmüller spacerepresentations of surface groups into \(\mathrm{PSL}(2,\mathbb C)\)

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• The classification of Kleinian surface groups. II: The Ending lamination conjecture
• The classification of Kleinian surface groups. I: Models and bounds
• Cannon-Thurston maps for pared manifolds of bounded geometry
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Cannon-Thurston maps for trees of hyperbolic metric spaces
• The classification of punctured-torus groups
• Teichmüller geodesics and ends of hyperbolic 3-manifolds
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Cannon-Thurston maps for surface groups
• The Cannon-Thurston map for punctured-surface groups
• Cannon-Thurston Maps for Surface Groups: An Exposition of Amalgamation Geometry and Split Geometry
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Ends of Hyperbolic 3-Manifolds
• On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
• Semiconjugacies between Kleinian group actions on the Riemann sphere
• Bounded geometry for Kleinian groups.
• Local connectivity, Kleinian groups and geodesics on the blowup of the torus.