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.
Elements of Dirac geometry: pullbacks, pushforwards, gauge equivalences.
Submanifolds in Poisson geometry.
Referência:
M. Crainic, R. Fernandes, I. Marcut: Lectures on Poisson geometry. GMS 217, AMS.