Abstract

In this paper, the notion of star products with separation of variables on a Kähler manifold is extended to bimodule deformations of (anti-) holomorphic vector bundles over a Kähler manifold. Here the Fedosov construction is appropriately adapted using the geometric data of a connection in the vector bundle. Moreover, the relation between the star products of Wick and anti-Wick type is clarified by constructing a canonical Morita equivalence bimodule as bimodule deformation of the canonical line bundle over the Kähler manifold.

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