منابع مشابه
Poisson Geometry
This paper is a survey of Poisson geometry, with an emphasis on global questions and the theory of Poisson Lie groups and groupoids.
متن کاملPoisson Modules and Generalized Geometry
Generalized complex structures were introduced as a common format for discussing both symplectic and complex manifolds, but the most interesting examples are hybrid objects – part symplectic and part complex. One such class of examples consists of holomorphic Poisson surfaces, but in [5],[6] Cavalcanti and Gualtieri also construct generalized complex 4-manifolds with similar features which are ...
متن کاملPicard Groups in Poisson Geometry
We study isomorphism classes of symplectic dual pairs P ← S → P , where P is an integrable Poisson manifold, S is symplectic, and the two maps are complete, surjective Poisson submersions with connected and simply-connected fibres. For fixed P , these Morita self-equivalences of P form a group Pic(P ) under a natural “tensor product” operation. Variants of this construction are also studied, fo...
متن کاملGraded geometry and Poisson reduction
The main result of [2] extends the Marsden-Ratiu reduction theorem [4] in Poisson geometry, and is proven by means of graded geometry. In this note we provide the background material about graded geometry necessary for the proof in [2]. Further, we provide an alternative algebraic proof for the main result.
متن کاملPoisson geometry and Morita equivalence
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 ...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 1998
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(98)00022-9