most citedTwo Categories of Dirac Manifolds

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math.DG2007★ 3 cited

Two Categories of Dirac Manifolds

Brett Milburn

We define two categories of Dirac manifolds, i.e. manifolds with complex Dirac structures. The first notion of maps I call \emph{Dirac maps}, and the category of Dirac manifolds is…

math.DG2007★ 2 cited

Generalized Complex and Dirac Structures on Homogeneous Spaces

Brett Milburn

We partially describe equivariant Dirac and generalized complex structures on a homogeneous space by giving equivalent data involving only the Lie algebra. We consider real s…