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Collected Works of William P. Thurston with Commentary: II. 3-Manifolds, Complexity and Geometric Group Theory
 
Edited by: Benson Farb
David Gabai
Steven P. Kerckhoff
Collected Works of William P. Thurston with Commentary
Softcover ISBN:  978-1-4704-7473-7
Product Code:  CWORKS/27.2.S
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-6834-7
Product Code:  CWORKS/27.2.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7473-7
eBook: ISBN:  978-1-4704-6834-7
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
Add to cart
Collected Works of William P. Thurston with Commentary
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Collected Works of William P. Thurston with Commentary: II. 3-Manifolds, Complexity and Geometric Group Theory
Edited by: Benson Farb
David Gabai
Steven P. Kerckhoff
Softcover ISBN:  978-1-4704-7473-7
Product Code:  CWORKS/27.2.S
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-6834-7
Product Code:  CWORKS/27.2.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7473-7
eBook ISBN:  978-1-4704-6834-7
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
Add to cart
  • Book Details
     
     
    Collected Works
    Volume: 27; 2022; 627 pp
    MSC: 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 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 II contains William Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.
    Readership

    Graduate 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
     
     
    • Cover
    • Title page
    • Copyright page
    • Contents
    • Preface
    • Acknowledgments
    • Three-dimensional manifolds
    • Three-dimensional manifolds
    • Three dimensional manifokds, Kleinian groups and hyperbolic geometry
    • Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds
    • Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
    • Hyperbolic structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary
    • Hyperbolic structures on 3-manifolds: Overall logic
    • Three-manifolds with symmetry
    • Hyperbolic geometry and 3-manifolds
    • Incompressible surfaces in 2-bridge knot complements
    • Triangulating 3-manifolds using 5 vertex link types
    • The virtual Haken conjecture: Experiments and examples
    • Finite covers of random 3-manifolds
    • Group invariant Peano curves
    • Lower bounds on volumes of hyperbolic Haken 3-manifolds
    • 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
    • 3-manifold knot genus is NP-complete
    • 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
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Collected Works
Volume: 27; 2022; 627 pp
MSC: 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 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 II contains William Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.
Readership

Graduate 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:
  • Cover
  • Title page
  • Copyright page
  • Contents
  • Preface
  • Acknowledgments
  • Three-dimensional manifolds
  • Three-dimensional manifolds
  • Three dimensional manifokds, Kleinian groups and hyperbolic geometry
  • Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds
  • Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
  • Hyperbolic structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary
  • Hyperbolic structures on 3-manifolds: Overall logic
  • Three-manifolds with symmetry
  • Hyperbolic geometry and 3-manifolds
  • Incompressible surfaces in 2-bridge knot complements
  • Triangulating 3-manifolds using 5 vertex link types
  • The virtual Haken conjecture: Experiments and examples
  • Finite covers of random 3-manifolds
  • Group invariant Peano curves
  • Lower bounds on volumes of hyperbolic Haken 3-manifolds
  • 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
  • 3-manifold knot genus is NP-complete
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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