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Geometric quantization of symplectic foliations

G. Sardanashvily
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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.

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G. Sardanashvily. 2001-11-07. Geometric quantization of symplectic foliations. https://arxiv.org/abs/math/0110196

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