Lectures on Poisson Geometry
American Mathematical Society (Verlag)
978-1-4704-6667-1 (ISBN)
Marius Crainic, Utrecht University, The Netherlands. Rui Loja Fernandes, University of Illinois at Urbana-Champaign, IL. Ioan Marcut, Radboud University, Nijmegen, The Netherlands.
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
| Erscheinungsdatum | 02.09.2021 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 894 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-4704-6667-8 / 1470466678 |
| ISBN-13 | 978-1-4704-6667-1 / 9781470466671 |
| Zustand | Neuware |
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