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Quasi-Poisson Manifolds

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Published:2002-02-01
Printed: Feb 2002
• A. Alekseev
• Y. Kosmann-Schwarzbach
• E. Meinrenken
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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 $\wedge^3 \g$ associated to an invariant inner product. We introduce the concept of the fusion of such manifolds, and we relate the quasi-Poisson manifolds to the previously introduced quasi-Hamiltonian manifolds with group-valued moment maps.
 MSC Classifications: 53D - unknown classification 53D

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