The momentum map in Poisson geometry
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.
34 pages; to appear in American Journal of Mathematics
34 pages; to appear in American Journal of Mathematics