An operadic approach to deformation quantization of compatible Poisson brackets
Quantum Algebra
2011-09-14 v4
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.
Cite
@article{arxiv.math/0611154,
title = {An operadic approach to deformation quantization of compatible Poisson brackets},
author = {Vladimir Dotsenko},
journal= {arXiv preprint arXiv:math/0611154},
year = {2011}
}
Comments
11 pages, no figures, typos corrected