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 |
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 DetailsGraduate Studies in MathematicsVolume: 217; 2021; 479 ppMSC: 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
ReadershipGraduate 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
-
-
Additional Material
-
Reviews
-
Overall, the book achieves its goal to give a comprehensive introduction to Poisson geometry.
Jochen Merker, Leipzig University
-
-
RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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
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