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Confoliations
 
Yakov M. Eliashberg Stanford University, Stanford, CA
William P. Thurston University of California, Davis, Davis, CA
Confoliations
Softcover ISBN:  978-0-8218-0776-7
Product Code:  ULECT/13
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-2162-5
Product Code:  ULECT/13.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-0-8218-0776-7
eBook: ISBN:  978-1-4704-2162-5
Product Code:  ULECT/13.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
Confoliations
Click above image for expanded view
Confoliations
Yakov M. Eliashberg Stanford University, Stanford, CA
William P. Thurston University of California, Davis, Davis, CA
Softcover ISBN:  978-0-8218-0776-7
Product Code:  ULECT/13
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-2162-5
Product Code:  ULECT/13.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-0-8218-0776-7
eBook ISBN:  978-1-4704-2162-5
Product Code:  ULECT/13.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
  • Book Details
     
     
    University Lecture Series
    Volume: 131998; 66 pp
    MSC: Primary 53; 57; Secondary 58

    This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional “brother” of symplectic geometry.

    However, both theories have developed a number of striking similarities. Confoliations—which interpolate between contact structures and codimension-one foliations—should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.

    Features:

    • A unified approach to the topology of codimension-one foliations and contact geometry.
    • Insight on the geometric nature of integrability.
    • New results, in particular on the perturbation of confoliations into contact structures.
    Readership

    Graduate students and research mathematicians working in differential and symplectic geometry, low-dimensional topology, the theory of foliations and several complex variables; some physicists and engineers.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Geometric nature of integrability
    • Chapter 2. Perturbation of confoliations into contact structures
    • Chapter 3. Taut vs. tight
  • Additional Material
     
     
  • Reviews
     
     
    • Go out and buy this book ...

      Bulletin of the London Mathematical Society
    • As this monograph shows and, one can expect future research will confirm, this unifying approach to the hitherto seemingly independent theories of foliations and contact structures is extremely fruitful ... a veritable cornucopia of ideas and surprising links between contact geometry and the theory of foliations.

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 131998; 66 pp
MSC: Primary 53; 57; Secondary 58

This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional “brother” of symplectic geometry.

However, both theories have developed a number of striking similarities. Confoliations—which interpolate between contact structures and codimension-one foliations—should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.

Features:

  • A unified approach to the topology of codimension-one foliations and contact geometry.
  • Insight on the geometric nature of integrability.
  • New results, in particular on the perturbation of confoliations into contact structures.
Readership

Graduate students and research mathematicians working in differential and symplectic geometry, low-dimensional topology, the theory of foliations and several complex variables; some physicists and engineers.

  • Chapters
  • Chapter 1. Geometric nature of integrability
  • Chapter 2. Perturbation of confoliations into contact structures
  • Chapter 3. Taut vs. tight
  • Go out and buy this book ...

    Bulletin of the London Mathematical Society
  • As this monograph shows and, one can expect future research will confirm, this unifying approach to the hitherto seemingly independent theories of foliations and contact structures is extremely fruitful ... a veritable cornucopia of ideas and surprising links between contact geometry and the theory of foliations.

    Mathematical Reviews
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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