This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p283bwm,
author = {Vaisman, Izu},
title = {Aspects of Geometric Quantization Theory in Poisson Geometry},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {283-292},
zbl = {1004.53060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p283bwm}
}
Vaisman, Izu. Aspects of Geometric Quantization Theory in Poisson Geometry. Banach Center Publications, Tome 51 (2000) pp. 283-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p283bwm/
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