The momentum map in Poisson geometry

Details The momentum map in Poisson geometry The momentum map in Poisson geometry

2007-05-04

arxiv.org/abs/0705.0562v3

Mathematics

Symplectic Geometry

34 pages; to appear in American Journal of Mathematics

Scientific paper

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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