Hyperbolic Manifolds and Discrete Groups

Authors:

ISBN: 978-0-8176-4912-8 (Print) 978-0-8176-4913-5 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xxvii

  2. No Access

    Book Chapter

    Pages 1-21

    Three-Dimensional Topology

  3. No Access

    Book Chapter

    Pages 23-30

    Thurston Norm

  4. No Access

    Book Chapter

    Pages 31-56

    Geometry of Hyperbolic Space

  5. No Access

    Book Chapter

    Pages 57-118

    Kleinian Groups

  6. No Access

    Book Chapter

    Pages 119-133

    Teichmüller Theory of Riemann Surfaces

  7. No Access

    Book Chapter

    Pages 135-159

    Introduction to Orbifold Theory

  8. No Access

    Book Chapter

    Pages 161-167

    Complex Projective Structures

  9. No Access

    Book Chapter

    Pages 169-218

    Sociology of Kleinian Groups

  10. No Access

    Book Chapter

    Pages 219-225

    Ultralimits of Metric Spaces

  11. No Access

    Book Chapter

    Pages 227-241

    Introduction to Group Actions on Trees

  12. No Access

    Book Chapter

    Pages 243-278

    Laminations, Foliations, and Trees

  13. No Access

    Book Chapter

    Pages 279-332

    Rips Theory

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    Book Chapter

    Pages 333-350

    Brooks’ Theorem and Circle Packings

  15. No Access

    Book Chapter

    Pages 351-368

    Pleated Surfaces and Ends of Hyperbolic Manifolds

  16. No Access

    Book Chapter

    Pages 369-376

    Outline of the Proof of the Hyperbolization Theorem

  17. No Access

    Book Chapter

    Pages 377-381

    Reduction to the Bounded Image Theorem

  18. No Access

    Book Chapter

    Pages 383-395

    The Bounded Image Theorem

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    Book Chapter

    Pages 397-401

    Hyperbolization of Fibrations

  20. No Access

    Book Chapter

    Pages 403-416

    The Orbifold Trick

  21. No Access

    Book Chapter

    Pages 417-431

    Beyond the Hyperbolization Theorem

  22. Back Matter

    Pages 433-467