Poisson geometry and Morita equivalence
نویسندگان
چکیده
2 Poisson geometry and some generalizations 3 2.1 Poisson manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Dirac structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Twisted structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Symplectic leaves and local structure of Poisson manifolds . . . . . . . . . . . . . 9 2.5 Presymplectic leaves and Poisson quotients of Dirac manifolds . . . . . . . . . . . 11 2.6 Poisson maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.7 Dirac maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
منابع مشابه
Morita Equivalence in Algebra and Geometry
We study the notion of Morita equivalence in various categories. We start with Morita equivalence and Morita duality in pure algebra. Then we consider strong Morita equivalence for C-algebras and Morita equivalence for W-algebras. Finally, we look at the corresponding notions for groupoids (with structure) and Poisson manifolds.
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