On the geometric quantization of the symplectic leaves of Poisson manifolds
type: Item
instance of: scholarly article
title: On the geometric quantization of the symplectic leaves of Poisson manifolds
zbMATH Open document ID: 0901.58020
DOI: 10.1016/S0926-2245(96)00056-3
author: Izu Vaisman
published in: Differential Geometry and its Applications
publication date: 1998-11-26T00:00:00Z
review text: The aim of this nice paper is to discuss some relations between the geometric quantization of a Poisson manifold, its symplectic realization, and its symplectic leaves. More exactly, the author gives conditions which ensure one of the following properties: (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 its symplectic leaves.
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 1145940
zbMATH Keywords: geometric quantization
zbMATH Keywords: Poisson manifold
zbMATH Keywords: symplectic realization
zbMATH Keywords: symplectic leaves
reviewed by: Mircea Puta
MaRDI profile type: Publication
Wikidata QID: Q115337569
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description: scientific article; zbMATH DE number 1145940