9 citations · 18 across the 3 of their papers we have counts for
3 papers
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.DG2007★ 9 cited
Pure Spinors on Lie groups
Anton Alekseev, Henrique Bursztyn, Eckhard Meinrenken
For any manifold M, the direct sum TM \oplus T*M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for…
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…