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eBook ISBN:  9781470468347 
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Softcover ISBN:  9781470474737 
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Product Code:  CWORKS/27.2.S.B 
List Price:  $250.00$187.50 
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Softcover ISBN:  9781470474737 
Product Code:  CWORKS/27.2.S 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470468347 
Product Code:  CWORKS/27.2.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470474737 
eBook ISBN:  9781470468347 
Product Code:  CWORKS/27.2.S.B 
List Price:  $250.00$187.50 
MAA Member Price:  $225.00$168.75 
AMS Member Price:  $200.00$150.00 

Book DetailsCollected WorksVolume: 27; 2022; 627 ppMSC: Primary 20; 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 II contains William Thurston's papers on the geometry and topology of 3manifolds, on complexity, constructions and computers, and on geometric group theory.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

Threedimensional manifolds

Threedimensional manifolds

Three dimensional manifokds, Kleinian groups and hyperbolic geometry

Hyperbolic structures on 3manifolds I: Deformation of acylindrical manifolds

Hyperbolic structures on 3manifolds, II: Surface groups and 3manifolds which fiber over the circle

Hyperbolic structures on 3manifolds, III: Deformations of 3manifolds with incompressible boundary

Hyperbolic structures on 3manifolds: Overall logic

Threemanifolds with symmetry

Hyperbolic geometry and 3manifolds

Incompressible surfaces in 2bridge knot complements

Triangulating 3manifolds using 5 vertex link types

The virtual Haken conjecture: Experiments and examples

Finite covers of random 3manifolds

Group invariant Peano curves

Lower bounds on volumes of hyperbolic Haken 3manifolds

Stabilization of Heegaard splittings

Complexity, constructions and computer

Complexity, constructions and computer

Examples of unknotted curves which bound only surfaces of high genus within their convex hulls

The size of spanning disks for polygonal curves

Area inequalities for emebbed disks spanning unknotted curves

3manifold knot genus is NPcomplete

The computational complexity of knot genus and spanning area

Part 3. Geometric Group Theory

Thurston’s work in geometric group theory

Finite state algorithms for the braid groups

Combable groups

Solvgroups are note almost convex

Groups, tilings and finite state automata

Conway’s tiling groups

The absence of efficient dual pairs of spanning trees in planar graphs

Other titles in this series

Back Cover


Additional Material

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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 II contains William Thurston's papers on the geometry and topology of 3manifolds, on complexity, constructions and computers, and on geometric group theory.
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

Threedimensional manifolds

Threedimensional manifolds

Three dimensional manifokds, Kleinian groups and hyperbolic geometry

Hyperbolic structures on 3manifolds I: Deformation of acylindrical manifolds

Hyperbolic structures on 3manifolds, II: Surface groups and 3manifolds which fiber over the circle

Hyperbolic structures on 3manifolds, III: Deformations of 3manifolds with incompressible boundary

Hyperbolic structures on 3manifolds: Overall logic

Threemanifolds with symmetry

Hyperbolic geometry and 3manifolds

Incompressible surfaces in 2bridge knot complements

Triangulating 3manifolds using 5 vertex link types

The virtual Haken conjecture: Experiments and examples

Finite covers of random 3manifolds

Group invariant Peano curves

Lower bounds on volumes of hyperbolic Haken 3manifolds

Stabilization of Heegaard splittings

Complexity, constructions and computer

Complexity, constructions and computer

Examples of unknotted curves which bound only surfaces of high genus within their convex hulls

The size of spanning disks for polygonal curves

Area inequalities for emebbed disks spanning unknotted curves

3manifold knot genus is NPcomplete

The computational complexity of knot genus and spanning area

Part 3. Geometric Group Theory

Thurston’s work in geometric group theory

Finite state algorithms for the braid groups

Combable groups

Solvgroups are note almost convex

Groups, tilings and finite state automata

Conway’s tiling groups

The absence of efficient dual pairs of spanning trees in planar graphs

Other titles in this series

Back Cover