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arXiv math/02071622002-07-19math.QAmath-phmath.MP

Morita equivalence bimodules for Wick type star products

Nikolai Neumaier, Stefan Waldmann

备注：: 17 pages, LaTeX 2e
DOI：: 10.1016/S0393-0440(02)00188-2

英文摘要：

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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