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*serious mathematics, written with the reader in mind*

Surface Manifolds that fiber over the circle

ISBN 9781943863013

Hardcover, 558 pages

Index (in pdf)

Table of contents (in html)

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Sample pages are in pdf. Four pages are provided for each chapter, two for each appendix. These pages are all copyrighted. You are welcome to print one copy for your use.

Chapter 11 Geometry of hyperbolic space

Chapter 12 Rigidity theorems

Chapter 13 Hyperbolization of 3-manifolds that fiber over the circle

Appendix D1 The Nullstellensatz and Selberg's lemma

Appendix D2 The Margulis lemma: another proof

Appendix D3 Fundamental groups, amalgamated sums, and HNN extensions

Appendix D4 Arithmetic Kleinian groups

Appendix D5 Ends of a topological space

Appendix D6 The space of simple geodesics

Appendix D7 Period coordinates

Appendix D8 Ergodic flow, Hopf's argument, and Mostow rigidity

Appendix D9 Teichmüller flow is ergodic

Appendix D10 Minimal but not ergodic

Appendix D11 Sullivan's rigidity theorem

Appendix D12 Fibrations and the Thurston norm