Poisson Reduction

Details Poisson Reduction Poisson Reduction

2011-06-20

arxiv.org/abs/1106.3878v4

Mathematics

Differential Geometry

13 pages

Scientific paper

In this paper we study Poisson actions with momentum map. For any action of a
connected and simply connected Poisson Lie group on a Poisson manifold we
define a reduced manifold in terms of the momentum map. We show that it
inherits a Poisson structure from $M$.

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