The Momentum Map In Poisson Geometry

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.


Published in:
American Journal Of Mathematics, 131, 1261-1310
Year:
2009
ISSN:
0002-9327
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-01-28

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