Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization
arXiv:math/0003004
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.
11 pages, one xypic figure. Minor changes on section IV