XXVII Workshop on Geometric Methods in Physics 29.06-05.07.2008

Alexander Karabegov


Deformation quantization of a Kahler-Poisson structure vanishing on a Levi nondegenerate hypersurface


We give an elementary proof of the result by Leichtnam, Tang, and Weinstein that there exists a deformation quantization with separation of variables on a complex manifold endowed with a Kahler-Poisson structure vanishing on a Levi nondegenerate hypersurface and nondegenerate on its complement.