47 citations · 195 across the 13 of their papers we have counts for
19 papers
On the homotopy type of the spaces of spherical knots in
Victor Turchin, Thomas Willwacher
We study the spaces of embeddings and those of long embeddings , i.e. embeddings of a fixed behavior outside a compact set. More pr…
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…
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…
On the delooping of (framed) embedding spaces
Julien Ducoulombier, Victor Turchin, Thomas Willwacher
It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The…
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…