Dirac structures, moment maps and quasi-Poisson manifolds
Bursztyn, Henrique ; Crainic, Marius
arXiv, 0310445 / Harvested from arXiv
Text on arXiv
We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an ``inversion'' procedure relating quasi-Poisson bivectors to twisted Dirac structures.
Publié le : 2003-10-28
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Mathematics - Symplectic Geometry 
@article{0310445,
     author = {Bursztyn, Henrique and Crainic, Marius},
     title = {Dirac structures, moment maps and quasi-Poisson manifolds},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310445}
}

Bursztyn, Henrique; Crainic, Marius. Dirac structures, moment maps and quasi-Poisson manifolds. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310445/