9 citations · 63 across the 28 of their papers we have counts for
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A Survey of Huebschmann and Stasheff's Paper: Formal Solution of the Master Equation via HPT and Deformation Theory
Fusun Akman, Lucian M. Ionescu
These notes, based on the paper "Formal Solution of the Master Equation via HPT and Deformation Theory" by Huebschmann and Stasheff, were prepared for a series of talks at Illinois…
From Lie Theory to Deformation Theory and Quantization
Lucian M. Ionescu
Deformation Theory is a natural generalization of Lie Theory, from Lie groups and their linearization, Lie algebras, to differential graded Lie algebras and their higher order defo…
From operads and PROPs to Feynman Processes
Lucian M Ionescu
Operads and PROPs are presented, together with examples and applications to quantum physics suggesting the structure of Feynman categories/PROPs and the corresponding algebras.
The Feynman Legacy
Lucian M. Ionescu
The article is an overview of the role of graph complexes in the Feynman path integral quantization. The underlying mathematical language is that of PROPs and operads, and their re…
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…
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…