Poisson structures /

• Main Author: Laurent-Gengoux, Camille
• Other Authors: Pichereau, Anne, Vanhaecke, Pol, 1963-
• Format: Book
• Language: English
• Published: Heidelberg : Springer, c2013.
• Series: Grundlehren der mathematischen Wissenschaften. A series of comprehensive studies in mathematics, v. 347
• Subjects: Poisson manifolds.; Poisson groupoids.; Differential geometry.; Poisson algebras.

Table of Contents:

• 1. Poisson structures: basic definitions
• 2. Poisson structures: basic constructions
• 3. Multi-derivations and Kähler forms
• 4. Poisson (Co)homology
• 5. Reduction
• 6. Constant Poisson structures, regular and symplectic manifolds
• 7. Linear Poisson structures and lie algebras
• 8. Higher degree Poisson structures
• 9. Higher degree Poisson structures in dimensions two and three
• 10 R-brackets and r-brackets
• 11 Poisson-Lie groups
• 12. Liouville integrable systems
• 13. Deformation quantization
• Appendices.