Fedosov Star-Products and 1-Differentiable Deformations
Quantum Algebra
2007-05-23 v1 Symplectic Geometry
Abstract
We show that every star product on a symplectic manifold defines uniquely a 1-differentiable deformation of the Poisson bracket. Explicit formulas are given. As a corollary we can identify the characteristic class of any star product as a part of its explicit (Fedosov) expression.
Keywords
Cite
@article{arxiv.math/9809032,
title = {Fedosov Star-Products and 1-Differentiable Deformations},
author = {Philippe Bonneau},
journal= {arXiv preprint arXiv:math/9809032},
year = {2007}
}
Comments
20 pages