Formal symplectic groupoid of a deformation quantization

We give a self-contained algebraic description of a formal symplectic groupoid over a Poisson manifold M. To each natural star product on M we then associate a canonical formal symplectic groupoid over M. Finally, we construct a unique formal symplectic groupoid `with separation of variables' o...

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Bibliographic Details
Published in:arXiv.org 2004-08
Main Author: Karabegov, Alexander V
Format: Article
Language:English
Subjects:
Deformation
Manifolds (mathematics)
Mathematical analysis
Online Access:Get full text
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Summary:We give a self-contained algebraic description of a formal symplectic groupoid over a Poisson manifold M. To each natural star product on M we then associate a canonical formal symplectic groupoid over M. Finally, we construct a unique formal symplectic groupoid `with separation of variables' over an arbitrary Kaehler-Poisson manifold.
ISSN:2331-8422
DOI:10.48550/arxiv.0408007