Quasi-Poisson Manifolds
Anton Alekseev, Yvette Kosmann-Schwarzbach, Eckhard Meinrenken
Abstract
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 3 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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