paper

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

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