Quasi-Poisson Manifolds
微分几何
2007-05-23 v1 量子代数
摘要
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.
引用
@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}
}
备注
26 pages