Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups by Michael Kapovich.

This classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensio...

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Bibliographic Details
Main Author: Kapovich, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
Edition:1st ed. 2010.
Series:Modern Birkhäuser Classics,
Springer eBook Collection.
Subjects:
Topology.
Group theory.
Geometry.
Manifolds (Mathematics).
Complex manifolds.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Three-Dimensional Topology
  • Thurston Norm
  • Geometry of Hyperbolic Space
  • Kleinian Groups
  • Teichmüller Theory of Riemann Surfaces
  • to Orbifold Theory
  • Complex Projective Structures
  • Sociology of Kleinian Groups
  • Ultralimits of Metric Spaces
  • to Group Actions on Trees
  • Laminations, Foliations, and Trees
  • Rips Theory
  • Brooks’ Theorem and Circle Packings
  • Pleated Surfaces and Ends of Hyperbolic Manifolds
  • Outline of the Proof of the Hyperbolization Theorem
  • Reduction to the Bounded Image Theorem
  • The Bounded Image Theorem
  • Hyperbolization of Fibrations
  • The Orbifold Trick
  • Beyond the Hyperbolization Theorem.

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