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

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 variabl...

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Bibliographic Details
Published in:arXiv.org 1999-03
Main Author: Karabegov, Alexander V
Format: Article
Language:English
Subjects:
Deformation
Manifolds
Multiplication
Separation
Online Access:Get full text
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Summary: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.
ISSN:2331-8422