Tópicos de Geometria Simplética (Geometria de Poisson)

Poisson brackets and bivectors. Examples.

Local structure: Weinstein’s splitting, Transversal structure, Linearization problem. 

Symplectic foliation.

Poisson invariants: cohomology, modular class.

Symplectic realization: Libermann’s theorem and dual pairs.

Symplectic groupoids: Integrability problem.

Poisson Lie groups and bialgebras.

Submanifolds in Poisson geometry.

Referência:
M. Crainic, R. Fernandes, I. Marcut: Lectures on Poisson geometry. GMS 217, AMS.