Hyperbolic Manifolds and Discrete Groups (Paperback)

From the Contents: Preface.- Three-dimensional Topology.- Thurston Norm.-Geometry of the Hyperbolic Space.- Kleinian Groups.- Teichmuller Theory of Riemann Surfaces.- Introduction to the Orbifold Theory.- Complex Projective Structures.- Sociology of Kleinian Groups.-Ultralimits of Metric Spaces.- Introduction 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 References.- Index.