Geometric quantization of symplectic foliations
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
Geometric quantization of a Poisson manifold need not imply quantization of its symplectic leaves. We provide the leafwise geometric quantization of a Poisson manifold, seen as a foliated one, whose quantum algebra restricted to each leaf is quantized.
Cite
@article{arxiv.math/0110196,
title = {Geometric quantization of symplectic foliations},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0110196},
year = {2007}
}
Comments
14 pages