Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization
Quantum Algebra
2007-05-23 v2 Algebraic Geometry
Abstract
We express the difference between Poisson bracket and deformed bracket for Kontsevich deformation quantization on any Poisson manifold by means of second derivative of the formality quasi-isomorphism. The counterpart on star products of the action of formal diffeomorphisms on Poisson formal bivector fields is also investigated.
Cite
@article{arxiv.math/0003004,
title = {Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization},
author = {Dominique Manchon},
journal= {arXiv preprint arXiv:math/0003004},
year = {2007}
}
Comments
11 pages, one xypic figure. Minor changes on section IV