172 citations · 376 across the 25 of their papers we have counts for
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On mapping spaces of differential graded operads with the commutative operad as target
Benoit Fresse
The category of differential graded operads is a cofibrantly generated model category and as such inherits simplicial mapping spaces. The vertices of an operad mapping space are ju…
Batanin's category of pruned trees is Koszul
Benoit Fresse
The category of pruned trees has been defined by M. Batanin with the aim of understanding the cell structure of certain E_n-operads in categorical terms. The objects of this catego…
Koszul duality of E_n-operads
Benoit Fresse
The goal of this paper is to prove a Koszul duality result for E_n-operads in differential graded modules over a ring. The case of an E_1-operad, which is equivalent to the associa…
Operadic bar constructions, cylinder objects, and homotopy morphisms of algebras over operads
Benoit Fresse
The purpose of this paper is twofold. First, we review applications of the bar duality of operads to the construction of explicit cofibrant replacements in categories of algebras o…