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Softcover ISBN:  9781470474720 
Product Code:  CWORKS/27.1.S 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470468330 
Product Code:  CWORKS/27.1.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470474720 
eBook ISBN:  9781470468330 
Product Code:  CWORKS/27.1.S.B 
List Price:  $250.00 $187.50 
MAA Member Price:  $225.00 $168.75 
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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 fourpart 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, lowdimensional topology, and dynamical systems of rational maps.
This item is also available as part of a set: 
Table of Contents

Cover

Title page

Copyright page

Contents

Preface

Acknowledgments

Foliations

Commentary: Foliations

Foliations of threemanifolds 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 threemanifolds

On the construction and classification of foliations

Existence of codimensionone foliations

Polynomial growth in holonomy groups of foliations

Anosov flows on new three manifolds

A norm for the homology of 3manifolds

Contact structures and foliations on 3manifolds

Confoliations

Threemanifolds, foliations and circles, I. Preliminary version

Threemanifolds, 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 2dimensional hyperbolic geometry

Minimal stretch maps between hyperbolic surfaces

Noncontinuity 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 3manifolds

Transformation groups and natural bundles

Manifolds with canonical coordinate charts: Some examples

Pinching constants for hyperbolic manifolds

Hyperbolic 4manifolds and conformally flat 3manifolds

Shapes of polyhedra and trinagulations of the sphere

On threedimensional space groups

Other titles in this series

Back Cover


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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 fourpart 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, lowdimensional topology, and dynamical systems of rational maps.

Cover

Title page

Copyright page

Contents

Preface

Acknowledgments

Foliations

Commentary: Foliations

Foliations of threemanifolds 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 threemanifolds

On the construction and classification of foliations

Existence of codimensionone foliations

Polynomial growth in holonomy groups of foliations

Anosov flows on new three manifolds

A norm for the homology of 3manifolds

Contact structures and foliations on 3manifolds

Confoliations

Threemanifolds, foliations and circles, I. Preliminary version

Threemanifolds, 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 2dimensional hyperbolic geometry

Minimal stretch maps between hyperbolic surfaces

Noncontinuity 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 3manifolds

Transformation groups and natural bundles

Manifolds with canonical coordinate charts: Some examples

Pinching constants for hyperbolic manifolds

Hyperbolic 4manifolds and conformally flat 3manifolds

Shapes of polyhedra and trinagulations of the sphere

On threedimensional space groups

Other titles in this series

Back Cover