Dirac structures and Poisson homogeneous spaces

Details Dirac structures and Poisson homogeneous spaces Dirac structures and Poisson homogeneous spaces

1996-11-08

arxiv.org/abs/dg-ga/9611001v1

Mathematics

Differential Geometry

LaTex, 28 pages

Scientific paper

Poisson homogeneous spaces for Poisson groupoids are classfied in terms of
Dirac structures for the corresponding Lie bialgebroids. Applications include
Drinfel'd's classification in the case of Poisson groups and a description of
leaf spaces of foliations as homogeneous spaces of pair groupoids.

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