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math.DG2007★ 4 cited
Dirac geometry, quasi-Poisson actions and D/G-valued moment maps
Henrique Bursztyn, Marius Crainic
We study Dirac structures associated with Manin pairs (\d,\g) and give a Dirac geometric approach to Hamiltonian spaces with D/G-valued moment maps, originally introduced by Alekse…
math.DG2003★ 5 cited
Dirac structures, moment maps and quasi-Poisson manifolds
Henrique Bursztyn, Marius Crainic
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 Dira…