24 citations · 48 across the 9 of their papers we have counts for
11 papers
Koszul duality for algebras over infinity-operads
Eric Hoffbeck, Ieke Moerdijk
In this paper, we introduce a new notion of algebra over a linear -operad and a corresponding notion of coalgebra over an -cooperad. We next extend the Koszul duali…
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…
Homology of infinity-operads
Eric Hoffbeck, Ieke Moerdijk
In a first part of this paper, we introduce a homology theory for infinity-operads and for dendroidal spaces which extends the usual homology of differential graded operads defined…
Properadic homotopical calculus
Eric Hoffbeck, Johan Leray, Bruno Vallette
In this paper, we initiate the generalisation of the operadic calculus which governs the properties of homotopy algebras to a properadic calculus which governs the properties of ho…
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…
Shuffles of trees
Eric Hoffbeck, Ieke Moerdijk
We discuss a notion of shuffle for trees which extends the usual notion of a shuffle for two natural numbers. We give several equivalent descriptions, and prove some algebraic and…