Abstract
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 realization of a Poisson manifold to the manifold or to its symplectic leaves. The main case is that of an isotropic realization. The paper ends by a discussion of the notion of a polarization of a Poisson manifold.
Original language | English |
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Pages (from-to) | 265-275 |
Number of pages | 11 |
Journal | Differential Geometry and its Application |
Volume | 7 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1997 |
Keywords
- Poisson manifold
- Polarization
- Presymplectic manifold
- Quantization triple
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Computational Theory and Mathematics