An operadic approach to deformation quantization of compatible Poisson brackets
arXiv:math/0611154
Abstract
We construct an analogue of the Livernet--Loday operad for two compatible brackets. The Livernet--Loday operad can be used to define -products and deformation quantization for Poisson structures. We make use of our operad in the same way, introducing a definition of (operadic) deformation quantization of compatible Poisson structures.
11 pages, no figures, typos corrected