24 citations · 48 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
Operads with compatible CL-shellable partition posets admit a Poincaré-Birkhoff-Witt basis
Joan Bellier-Millès, Bérénice Delcroix-Oger, Eric Hoffbeck
In 2007, Vallette built a bridge across posets and operads by proving that an operad is Koszul if and only if the associated partition posets are Cohen-Macaulay. Both notions of be…
Leibniz homology of Lie algebras as functor homology
Eric Hoffbeck, Christine Vespa
We prove that Leibniz homology of Lie algebras can be described as functor homology in the category of linear functors from a category associated to the Lie operad.
Obstruction theory for algebras over an operad
Eric Hoffbeck
The goal of this paper is to set up an obstruction theory in the context of algebras over an operad and in the framework of differential graded modules over a field. Precisely, the…
Gamma-homology of algebras over an operad
Eric Hoffbeck
The purpose of this paper is to study generalizations of Gamma-homology in the context of operads. Good homology theories are associated to operads under appropriate cofibrancy hyp…
A Poincaré-Birkhoff-Witt criterion for Koszul operads
Eric Hoffbeck
The aim of this article is to give a criterion, generalizing the criterion introduced by Priddy for algebras, to verify that an operad is Koszul. We define the notion of a Poincare…