Thurston's Work on Surfaces (MN-48) / / Albert Fathi, François Laudenbach, Valentin Poénaru.
This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, t...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©2012 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Mathematical Notes ;
48 |
| Online Access: | |
| Physical Description: | 1 online resource (272 p.) :; 150 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- 1 An Overview of Thurston’s Theorems on Surfaces
- 2 Some Reminders about the Theory of Surface Diffeomorphisms
- 3 Review of Hyperbolic Geometry in Dimension 2
- 4 The Space of Simple Closed Curves in a Surface
- A. Pair of Pants Decompositions of a Surface
- Appendix A
- 5 Measured Foliations
- B Spines of Surfaces
- Appendix B
- 6 The Classification of Measured Foliations
- C Explicit Formulas for Measured Foliations
- Appendix C
- 7 Teichmuller Space
- 8 The Thurston Compactification of Teichmuller Space
- D Estimates of Hyperbolic Distances
- Appendix D
- 9 The Classification of Surface Diffeomorphisms
- 10 Some Dynamics of Pseudo-Anosov Diffeomorphisms
- 11 Thurston’s Theory for Surfaces with Boundary
- 12 Uniqueness Theorems for Pseudo-Anosov Diffeomorphisms
- 13 Constructing Pseudo-Anosov Diffeomorphisms
- 14 Fibrations over S1 with Pseudo-Anosov Monodromy
- 15 Presentation of the Mapping Class Group
- Bibliography
- Index