Generalizing symmetries in symplectic geometry

Henrique Bursztyn

Keywords: Poisson geometry | Dirac structures | momentum maps

We discuss recent results extending the notions of hamiltonian action and reduction in symplectic geometry to the setting of twisted Dirac geometry. We focus on the role of Lie algebroids as infinitesimal symmetries and applications to quasi-Poisson geometry.

Anexos:

• egdimpa-1.pdf