University of Toronto's Symplectic Geometry Seminar

September 13, 2010, 2:10pm
Bahen 6183

Alejandro Cabrera

University of Toronto

Remarks on symplectic realizations


A symplectic realization (S,J) of a Poisson manifold M is a symplectic manifold S together with a map J:S to M respecting the underlying Poisson brackets. We shall outline different methods of proving the existence of such realizations for any Poisson manifold. We shall focus on one of them which has an homological flavour and yields a 'formal' symplectic realization. Finally, we shall comment on the relation between different realizations and, in particular, with one that is obtained from symplectic Lie groupoid theory.