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Quasi-Poisson Manifolds | | Anton Alekseev
; Yvette Kosmann-Schwarzbach
; Eckhard Meinrenken
; | | Date: |
22 Jun 2000 | | Subject: | Differential Geometry; Quantum Algebra | math.DG math.QA | | 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 for such manifolds, and we relate quasi-Poisson manifolds to the previously introduced quasi-Hamiltonian manifolds with group-valued moment maps. | | Source: | arXiv, math.DG/0006168 | | Services: | Forum | Review | PDF | Favorites | |
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