A canonical semi-classical star-product
arXiv:math/0507053
Abstract
We study the Maurer-Cartan equation of the pre-Lie algebra of graphs controling the deformation theory of associative algebras and prove that there is a canonical solution within the class of graphs without circuits, without assuming the Jacobi identity. The proof is based on the unique factorization property of graph insertions.
AMS LaTeX, 16 pages