Formal symplectic groupoid of a deformation quantization
Quantum Algebra
2009-11-10 v3
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 Kaehler-Poisson manifold.
Cite
@article{arxiv.math/0408007,
title = {Formal symplectic groupoid of a deformation quantization},
author = {Alexander V. Karabegov},
journal= {arXiv preprint arXiv:math/0408007},
year = {2009}
}
Comments
41 page, Lemma 13, several typos and notations corrected