The momentum map in Poisson geometry
Symplectic Geometry
2009-03-02 v3 Differential Geometry
Abstract
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.
Cite
@article{arxiv.0705.0562,
title = {The momentum map in Poisson geometry},
author = {Rui Loja Fernandes and Juan-Pablo Ortega and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:0705.0562},
year = {2009}
}