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Lectures on Poisson Geometry
 
Marius Crainic Utrecht University, Utrecht, The Netherlands
Rui Loja Fernandes University of Illinois at Urbana-Champaign, Urbana-Champaign, IL
Ioan Mărcuţ Radboud University, Nijmegen, The Netherlands
Lectures on Poisson Geometry
Softcover ISBN:  978-1-4704-6667-1
Product Code:  GSM/217.S
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6666-4
Product Code:  GSM/217.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6667-1
eBook: ISBN:  978-1-4704-6666-4
Product Code:  GSM/217.S.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Lectures on Poisson Geometry
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Lectures on Poisson Geometry
Marius Crainic Utrecht University, Utrecht, The Netherlands
Rui Loja Fernandes University of Illinois at Urbana-Champaign, Urbana-Champaign, IL
Ioan Mărcuţ Radboud University, Nijmegen, The Netherlands
Softcover ISBN:  978-1-4704-6667-1
Product Code:  GSM/217.S
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6666-4
Product Code:  GSM/217.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6667-1
eBook ISBN:  978-1-4704-6666-4
Product Code:  GSM/217.S.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 2172021; 479 pp
    MSC: Primary 53; 58; 22; Secondary 37;

    Reviews and Endorsements

    This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way.

    Alan Weinstein, University of California at Berkeley

    This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study.

    Eckhard Meinrenken, University of Toronto

    Readership

    Graduate students and researchers interested in Poisson geometry.

  • Table of Contents
     
     
    • Basic concepts
    • Poisson brackets
    • Poisson bivectors
    • Local structure of Poisson manifolds
    • Notes and references for Part 1
    • Poisson geometry around leaves
    • Symplectic leaves and the symplectic foliation
    • Poisson transversals
    • Symplectic realizations
    • Dirac geometry
    • Submanifolds in Poisson geometry
    • Notes and references for Part 2
    • Global aspects
    • Poisson cohomology
    • Poisson homotopy
    • Contravariant geometry and connections
    • Notes and references for Part 3
    • Symplectic groupoids
    • Complete symplectic realizations
    • A crash course on Lie groupoids
    • Symplectic groupoids
    • Notes and references for Part 4
    • Appendices
    • Lie groups
    • Symplectic structures
    • Foliations
    • Groupoids: Conventions and choices
  • Reviews
     
     
    • Overall, the book achieves its goal to give a comprehensive introduction to Poisson geometry.

      Jochen Merker, Leipzig University
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2172021; 479 pp
MSC: Primary 53; 58; 22; Secondary 37;

Reviews and Endorsements

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way.

Alan Weinstein, University of California at Berkeley

This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study.

Eckhard Meinrenken, University of Toronto

Readership

Graduate students and researchers interested in Poisson geometry.

  • Basic concepts
  • Poisson brackets
  • Poisson bivectors
  • Local structure of Poisson manifolds
  • Notes and references for Part 1
  • Poisson geometry around leaves
  • Symplectic leaves and the symplectic foliation
  • Poisson transversals
  • Symplectic realizations
  • Dirac geometry
  • Submanifolds in Poisson geometry
  • Notes and references for Part 2
  • Global aspects
  • Poisson cohomology
  • Poisson homotopy
  • Contravariant geometry and connections
  • Notes and references for Part 3
  • Symplectic groupoids
  • Complete symplectic realizations
  • A crash course on Lie groupoids
  • Symplectic groupoids
  • Notes and references for Part 4
  • Appendices
  • Lie groups
  • Symplectic structures
  • Foliations
  • Groupoids: Conventions and choices
  • Overall, the book achieves its goal to give a comprehensive introduction to Poisson geometry.

    Jochen Merker, Leipzig University
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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