Strict Quantizations of Almost Poisson Manifolds
β Scribed by Hanfeng Li
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 233 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
In the paper, we establish some conditions which ensure one of the following: (i) the existence of the pullback of the quantization bundle of a Poisson manifold to a quantization bundle of a symplectic leaf, (ii) the existence of the projection of a quantization bundle from a presymplectic realizati
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.