7 citations · 12 across the 6 of their papers we have counts for
10 papers
Operadic actions on long knots and 2-string links
Etienne Batelier, Julien Ducoulombier
In the present work, we realize the space of 2-string links as a free algebra over a colored operad denoted (for "Swiss-Cheese for links"). This resul…
Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules
Ricardo Campos, Julien Ducoulombier, Najib Idrissi
We develop the combinatorics of leveled trees in order to construct explicit resolutions of (co)operads and (co)operadic (co)bimodules. We build explicit cofibrant resolutions of o…
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 of high-dimensional spaces of string links
J. Ducoulombier
We study a connection between a multivariable version of the Goodwillie-Weiss' calculus of functors and derived mapping spaces of k-fold bimodules over a family of operads. As our…
A model for framed configuration spaces of points
Ricardo Campos, Julien Ducoulombier, Najib Idrissi +1
We study configuration spaces of framed points on oriented closed smooth manifolds. Such configuration spaces admit natural actions of the framed little discs operads, that play an…