paper

On Fedosov's approach to deformation quantization with separation of variables

arXiv:math/9903031

Abstract

The description of all deformation quantizations with separation of variables on a Kaehler manifold obtained in our earlier paper is used to identify the Fedosov star-product of Wick type constructed by M. Bordemann and S. Waldmann. This star-product is shown to be the one with separation of variables which corresponds to the trivial deformation of the Kaehler form. To this end a formal Fock bundle on a Kaehler manifold is introduced and an associative multiplication on its sections is defined.

11 pages, plain latex file, minor corrections and additions made

On Fedosov's approach to deformation quantization with separation of variables · wovepaper