an:01180600
Zbl 0938.53049
Karabegov, A. V.
Cohomological classification of deformation quantizations with separation of variables
EN
Lett. Math. Phys. 43, No. 4, 347-357 (1998).
00047116
1998
j
53D55 81S10 37N20
K??hler manifolds; geometric quantization; quantum fluctuations
A second cohomology class for the deformation quantization with separation of variables on a K??hler manifold has been calculated. It turns out that for deformation quantizations with separation of variables \(A\) and \(\overline A\) the calculation of the Deligne classes \([\overline A,A]\) is rather straightforward. The definition of a specific class \(cl\) based on Deligne's classes is given and then \(cl(A)\) is calculated.
Samir Musayev (Baku)