Geometric quantization of symplectic foliations

Details Geometric quantization of symplectic foliations Geometric quantization of symplectic foliations

2001-10-18

arxiv.org/abs/math/0110196v2

Mathematics

Differential Geometry

14 pages

Scientific paper

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.

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