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| Softcover ISBN: | 978-1-4704-7472-0 |
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| Softcover ISBN: | 978-1-4704-7472-0 |
| Product Code: | CWORKS/27.1.S |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-6833-0 |
| Product Code: | CWORKS/27.1.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-7472-0 |
| eBook ISBN: | 978-1-4704-6833-0 |
| Product Code: | CWORKS/27.1.S.B |
| List Price: | $250.00 $187.50 |
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Book DetailsCollected WorksVolume: 27; 2022; 759 ppMSC: Primary 57; 53
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy.
This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff.
Volume I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
ReadershipGraduate students and researchers interested in geometric topology, geometric group theory, low-dimensional topology, and dynamical systems of rational maps.
This item is also available as part of a set: -
Table of Contents
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Cover
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Title page
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Copyright page
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Contents
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Preface
-
Acknowledgments
-
Foliations
-
Commentary: Foliations
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Foliations of three-manifolds which are circle bunldes
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Anosov flows and the fundamental group
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Noncobordant foliations of 𝑆³
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Some remarks on foliations
-
Foliations and groups of diffeomorphisms
-
A generalization of the Reeb stability theorem
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The theory of foliations of codimension greater than one
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Foliated bundles, invariant measures and flat manifolds
-
The theory of folations of codimension greater than one
-
On the existence of contact forms
-
A local construction of foliations for three-manifolds
-
On the construction and classification of foliations
-
Existence of codimension-one foliations
-
Polynomial growth in holonomy groups of foliations
-
Anosov flows on new three manifolds
-
A norm for the homology of 3-manifolds
-
Contact structures and foliations on 3-manifolds
-
Confoliations
-
Three-manifolds, foliations and circles, I. Preliminary version
-
Three-manifolds, foliations and circles II. The transverse asymptotic geometry of foliations
-
Surfaces and mapping class groups
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Commentary: Surfaces and mapping class groups
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A presentation for the mapping class group of a closed orientable surface
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New proofs of some results on Nielsen
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On the geometry and dynamics of diffeomorphisms of surfaces
-
Earthquakes in 2-dimensional hyperbolic geometry
-
Minimal stretch maps between hyperbolic surfaces
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Non-continuity of the action of the modular group of Bers’ boundary of Teichmuller space
-
Differential geometry
-
Commentary: Differential geometry
-
Some simple examples of symplectic manifolds
-
Characteristic numbers of 3-manifolds
-
Transformation groups and natural bundles
-
Manifolds with canonical coordinate charts: Some examples
-
Pinching constants for hyperbolic manifolds
-
Hyperbolic 4-manifolds and conformally flat 3-manifolds
-
Shapes of polyhedra and trinagulations of the sphere
-
On three-dimensional space groups
-
Other titles in this series
-
Back Cover
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy.
This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff.
Volume I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
Graduate students and researchers interested in geometric topology, geometric group theory, low-dimensional topology, and dynamical systems of rational maps.
-
Cover
-
Title page
-
Copyright page
-
Contents
-
Preface
-
Acknowledgments
-
Foliations
-
Commentary: Foliations
-
Foliations of three-manifolds which are circle bunldes
-
Anosov flows and the fundamental group
-
Noncobordant foliations of 𝑆³
-
Some remarks on foliations
-
Foliations and groups of diffeomorphisms
-
A generalization of the Reeb stability theorem
-
The theory of foliations of codimension greater than one
-
Foliated bundles, invariant measures and flat manifolds
-
The theory of folations of codimension greater than one
-
On the existence of contact forms
-
A local construction of foliations for three-manifolds
-
On the construction and classification of foliations
-
Existence of codimension-one foliations
-
Polynomial growth in holonomy groups of foliations
-
Anosov flows on new three manifolds
-
A norm for the homology of 3-manifolds
-
Contact structures and foliations on 3-manifolds
-
Confoliations
-
Three-manifolds, foliations and circles, I. Preliminary version
-
Three-manifolds, foliations and circles II. The transverse asymptotic geometry of foliations
-
Surfaces and mapping class groups
-
Commentary: Surfaces and mapping class groups
-
A presentation for the mapping class group of a closed orientable surface
-
New proofs of some results on Nielsen
-
On the geometry and dynamics of diffeomorphisms of surfaces
-
Earthquakes in 2-dimensional hyperbolic geometry
-
Minimal stretch maps between hyperbolic surfaces
-
Non-continuity of the action of the modular group of Bers’ boundary of Teichmuller space
-
Differential geometry
-
Commentary: Differential geometry
-
Some simple examples of symplectic manifolds
-
Characteristic numbers of 3-manifolds
-
Transformation groups and natural bundles
-
Manifolds with canonical coordinate charts: Some examples
-
Pinching constants for hyperbolic manifolds
-
Hyperbolic 4-manifolds and conformally flat 3-manifolds
-
Shapes of polyhedra and trinagulations of the sphere
-
On three-dimensional space groups
-
Other titles in this series
-
Back Cover
