Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization

摘要

We express the difference between the Poisson bracket and a deformed bracket for Kontsevich deformation quantization on any Poisson manifold by means of the second derivative of the formality quasi-isomorphism. The counterpart in star products of the action of formal diffeomorphisms on Poisson formal bivector fields is also investigated. [References: 3]