214 citations · 588 across the 26 of their papers we have counts for
30 papers
Operadic Calculus for Higher Colour-Kinematics Duality
Anibal M. Medina-Mardones, Bruno Vallette
The search for algebraic foundations of colour-kinematics duality and the double-copy construction has brought into focus a generalization of Batalin--Vilkovisky algebras, referred…
Effective integration of Lie type algebras
Bruno Vallette
This is a short survey on the recent developments made in the integration theory with effective formulas of algebraic structures stronger or higher than Lie algebras.
Universal constructions in homotopical algebra
Ricardo Campos, Bruno Vallette
We apply the effective integration theory of Lie-graph algebras, developed recently by the authors, to the deformation and homotopy theories of types of bialgebras, that is structu…
Integration theory of Lie-graph algebras
Ricardo Campos, Bruno Vallette
We develop the Lie theory of Lie-admissible algebras whose product is enriched with higher operations modeled on directed graphs with a view to apply it to the deformation theories…
Simplicial properadic homotopy
Eric Hoffbeck, Johan Leray, Bruno Vallette
In this paper, we settle the homotopy properties of the infinity-morphisms of homotopy (bial)-gebras over properads, i.e. algebraic structures made up of operations with several in…
Maurer-Cartan methods in deformation theory: the twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment o…