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Construction of the canonical trace density of a deformation quantization with separation of variables. (English. Russian original) Zbl 0935.53038
Funct. Anal. Appl. 32, No. 4, 286-288 (1998); translation from Funkts. Anal. Prilozh. 32, No. 4, 85-87 (1998).
Summary: In this note, we present an explicit construction of the canonical trace density [B. V. Fedosov, J. Differ. Geom. 40, 213-238 (1994; Zbl 0812.53034)] for the deformation quantization with separation of variables (which was introduced by A. V. Karabegov [Commun. Math. Phys. 180, 745-755 (1996; Zbl 0866.58037)]) on a pseudo-Kähler manifold.
MSC:
53D55 Deformation quantization, star products
81S10 Geometry and quantization, symplectic methods
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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