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FORMAL SYMPLECTIC GROUPOID OF A DEFORMATION QUANTIZATION

By Alexander V. Karabegov

Abstract

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 Kähler-Poisson manifold

Year: 2004
OAI identifier: oai:CiteSeerX.psu:10.1.1.239.825
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