Traces for star products on symplectic manifolds
Quantum Algebra
2009-11-07 v1 Symplectic Geometry
Abstract
We give a direct elementary proof of the existence of traces for arbitrary star products on a symplectic manifold. We follow the approach we used in \cite{refs:GuttRaw}, solving first the local problem. A normalisation introduced by Karabegov \cite{refs:Karabegov} makes the local solutions unique and allows them to be pieced together to solve the global problem.
Keywords
Cite
@article{arxiv.math/0105089,
title = {Traces for star products on symplectic manifolds},
author = {Simone Gutt and John Rawnsley},
journal= {arXiv preprint arXiv:math/0105089},
year = {2009}
}