Quasi-Poisson Manifolds

Anton Alekseev, Yvette Kosmann–Schwarzbach, Eckhard Meinrenken

Type: Article

Publication Date: 2002-02-01

Citations: 176

DOI: https://doi.org/10.4153/cjm-2002-001-5

Abstract

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 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.

Locations

Canadian Journal of Mathematics - View - PDF
arXiv (Cornell University) - PDF

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