Matrix
Editions
serious mathematics,
written with the reader in mind
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