172 citations · 376 across the 25 of their papers we have counts for
27 papers
On a notion of homotopy Segal -Hopf cooperad
Benoit Fresse, Lorenzo Guerra
We define a notion of homotopy Segal cooperad in the category of -algebras. This model of Segal cooperad that we define in the paper, which we call homotopy Segal $ E_\…
On the rational homotopy type of embedding spaces of manifolds in
Benoit Fresse, Victor Turchin, Thomas Willwacher
We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a…
Mapping Spaces for DG Hopf Cooperads and Homotopy Automorphisms of the Rationalization of -operads
Benoit Fresse, Thomas Willwacher
We define a simplicial enrichment on the category of differential graded Hopf cooperads (the category of dg Hopf cooperads for short). We prove that our simplicial enrichment satis…
Projective and Reedy model category structures for (infinitesimal) bimodules over an operad
Julien Ducoulombier, Benoit Fresse, Victor Turchin
We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same hom…
Little discs operads, graph complexes and Grothendieck--Teichmüller groups
Benoit Fresse
This paper is a survey on the homotopy theory of -operads written for the new handbook of homotopy theory.
The extended rational homotopy theory of operads
Benoit Fresse
In this paper, we set up a rational homotopy theory for operads in simplicial sets whose term of arity one is not necessarily reduced to an operadic unit, extending results obtaine…