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Morita equivalence bimodules for Wick type star products

Nikolai Neumaier·Stefan Waldmann
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Abstract

In this paper, the notion of star products with separation of variables on a Kahler manifold is extended to bimodule deformations of (anti-) holomorphic vector bundles over a Kahler 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 Kahler manifold.

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BibTeXRIS

Nikolai Neumaier, Stefan Waldmann. 2002-07-19. Morita equivalence bimodules for Wick type star products. https://doi.org/10.1016/s0393-0440(02)00188-2

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