Quasi-Poisson Manifolds

2002/02/01 by A. Alekseev, Anton Alekseev, Y. Kosmann-Schwarzbach +3 · 13 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi: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.

Citations

• The non-commutative Weil algebra

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