The Momentum Map in Poisson 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. 

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Cite this paper

@inproceedings{Fernandes2007TheMM, title={The Momentum Map in Poisson Geometry}, author={Rui Ant{\'o}nio Loja Fernandes}, year={2007} }