Geodesic
The correspondence principle in Abelian Lagrangian geometry
Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 823-834

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We present a new idea of quantization of classical mechanical systems, which uses the constructions of [2], [7] and [1]. As a first step, we verify the correspondence between the Poisson brackets on the initial symplectic manifold and on the moduli space of half-weighted Bohr–Sommerfeld Lagrangian cycles of a fixed volume. 
@article{IM2_2001_65_4_a9,
     author = {N. A. Tyurin},
     title = {The correspondence principle in {Abelian} {Lagrangian} geometry},
     journal = {Izvestiya. Mathematics },
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a9/}
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N. A. Tyurin. The correspondence principle in Abelian Lagrangian geometry. Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 823-834. http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a9/