How to calculate the Fedosov star--product (Exercices de style)
Symplectic Geometry
2016-09-07 v1 Quantum Algebra
Abstract
This is an expository note on Fedosov's construction of deformation quantization. Given a symplectic manifold and a connection on it, we show how to calculate the star-product step by step. We draw simple diagrams to solve the recursive equations for the Fedosov connection and for flat sections of the Weyl algebra bundle corresponding to functions. We also reflect on the differences of symplectic and Riemannian geometries.
Keywords
Cite
@article{arxiv.math/0008157,
title = {How to calculate the Fedosov star--product (Exercices de style)},
author = {Olga Kravchenko},
journal= {arXiv preprint arXiv:math/0008157},
year = {2016}
}
Comments
Comptes-rendus des Rencontres Mathematiques de Glanon 1998 (Bourgogne, France), 11 pages