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math.QA2005★ 4 cited
On deformation theory and graph homology
Fusun Akman, Lucian M. Ionescu, Papa A. Sissokho
Deformation theory of associative algebras and in particular of Poisson algebras is reviewed. The role of an almost contraction leading to a canonical solution of the corresponding…
math.QA2005
A canonical semi-classical star-product
Lucian M. Ionescu, Papa A. Sissokho
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 t…