Hyperbolic Manifolds and Discrete Groups

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.