Lectures on Poisson geometry
Author(s)
Bibliographic Information
Lectures on Poisson geometry
(Graduate studies in mathematics, 217)
MAA Press, an imprint of the American Mathematical Society, c2021
- : pbk.
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Note
Includes bibliographical references (p. 463-471) and index
Description and Table of Contents
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
Bibliography
Index
by "Nielsen BookData"