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Quasi-Poisson Manifolds

  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 show english descriptions unknown classification 53D 53D - unknown classification 53D
 

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