Lectures on Poisson Geometry (Graduate Studies in Mathematics)

Crainic, Marius/ Fernandes, Rui Loja/ Marcut, Ioan

American Mathematical Society（2021/12発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 479 p.
言語 ENG
商品コード 9781470466671
DDC分類 516.36

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