Quasi-Poisson Manifolds

Details Quasi-Poisson Manifolds Quasi-Poisson Manifolds

2000-06-22

arxiv.org/abs/math/0006168v1

Mathematics

Differential Geometry

26 pages

Scientific paper

A quasi-Poisson manifold is a G-manifold equipped with an invariant bivector field whose Schouten bracket is the trivector field generated by the invariant element in $\wedge^3 \g$ associated to an invariant inner product. We introduce the concept of the fusion for such manifolds, and we relate quasi-Poisson manifolds to the previously introduced quasi-Hamiltonian manifolds with group-valued moment maps.

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