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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…
Cohomology of Feynman graphs and perturbative quantum field theory
Lucian M. Ionescu
An analog of Kreimer's coproduct from renormalization of Feynman integrals in quantum field theory, endows an analog of Kontsevich's graph complex with a dg-coalgebra structure. Th…
Twisted modules for vertex algebras associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We continue with [LY] to construct and classify graded simple twisted modules for the -graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algeb…