Geodesic
On the Deformation Quantization, on a K\"ahler Manifold, Associated with a Berezin Quantization
Funkcionalʹnyj analiz i ego priloženiâ, Tome 30 (1996) no. 2, pp. 87-89.

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A. V. Karabegov. On the Deformation Quantization, on a K\"ahler Manifold, Associated with a Berezin Quantization. Funkcionalʹnyj analiz i ego priloženiâ, Tome 30 (1996) no. 2, pp. 87-89. http://geodesic.mathdoc.fr/item/FAA_1996_30_2_a10/

[1] Rawnsley J., Cahen M., Gutt S., “Quantization of Kahler manifolds. I: Geometric interpretation of Berezin's quantization”, J. Geom. Phys., 7 (1990), 45–62 | DOI | MR | Zbl

[2] Cahen M., Gutt S., Rawnsley J., “Quantization of Kahler manifolds, II”, Trans. Amer. Math. Soc., 337 (1993), 73–98 | DOI | MR | Zbl

[3] Cahen M., Gutt S., Rawnsley J., “Quantization of Kahler manifolds, III”, Lett. Math. Phys., 30 (1994), 291–305 | DOI | MR | Zbl

[4] Cahen M., Gutt S., Rawnsley J., Lett. Math. Phys. (to appear) | MR

[5] Berezin F. A., “Kvantovanie”, Izv. AN SSSR, ser. matem., 38 (1974), 1116–1175 | MR | Zbl

[6] Bayen F., Flato M., Fronsdal C., Lichnerovich A., Sternheimer D., Ann. Phys., 111 (1977), 61–151 | DOI | MR

[7] De Wilde M., Lecomte P., “Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds”, Lett. Math. Phys., 7 (1983), 487–496 | DOI | MR | Zbl

[8] Omori H., Maeda Y., Yoshioka A., “Weyl manifolds and deformation quantization”, Adv. Math., 85 (1991), 224–255 | DOI | MR | Zbl

[9] Fedosov B. V., “A simple geometrical construction of deformation quantization”, J. Diff. Geom., 40 (1994), 213–238 | MR | Zbl