Quasi-Poisson Manifolds
Differential Geometry
2007-05-23 v1 Quantum Algebra
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 for such manifolds, and we relate quasi-Poisson manifolds to the previously introduced quasi-Hamiltonian manifolds with group-valued moment maps.
Cite
@article{arxiv.math/0006168,
title = {Quasi-Poisson Manifolds},
author = {Anton Alekseev and Yvette Kosmann-Schwarzbach and Eckhard Meinrenken},
journal= {arXiv preprint arXiv:math/0006168},
year = {2007}
}
Comments
26 pages