47 citations · 195 across the 13 of their papers we have counts for
4 papers · 1 filter
Delooping the functor calculus tower
Julien Ducoulombier, Victor Turchin
We study a connection between mapping spaces of bimodules and of infinitesimal bimodules over an operad. As main application and motivation of our work, we produce an explicit delo…
Cycle index sum for non-k-equal configurations
Keely Grossnickle, Victor Turchin
We compute the cycle index sum of the symmetric group action on the homology of the configuration spaces of points in a Euclidean space with the condition that no of them are e…
The rational homotopy of mapping spaces of E operads
Benoit Fresse, Victor Turchin, Thomas Willwacher
We express the rational homotopy type of the mapping spaces of the little discs operads in terms of graph complexes. Using kno…
The homotopy theory of operad subcategories
Benoit Fresse, Victor Turchin, Thomas Willwacher
We study the subcategory of topological operads such that (the category of unitary operads in our terminology). We use that this category inherits a model structure,…