On the geometric quantization of the symplectic leaves of Poisson manifolds
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.
scientific article; zbMATH DE number 1145940
scientific article