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arxiv: math/9903031 · v2 · submitted 1999-03-05 · 🧮 math.QA · math-ph· math.MP

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

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keywords deformationkaehlerseparationvariablesfedosovmanifoldstar-productapproach
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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.

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