On Fedosov's approach to Deformation Quantization with Separation of Variables

Karabegov, Alexander V.

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URL: http://ub-madoc.bib.uni-mannheim.de/1329
URN: urn:nbn:de:bsz:180-madoc-13293
Document Type: Working paper
Year of publication: 1999
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Abstract: It was shown in our earlier paper that the deformation quantizations with separation of variables on a Kaehler manifold are parametrized by the formal deformations of the Kaehler form. The Fedosov star-product of Wick type constructed by M. Bordemann and S. Waldmann is proven to coincide with the star-product 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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