131 citations · 651 across the 67 of their papers we have counts for
5 papers · 1 filter
(Non-)formality of the extended Swiss Cheese operads
Thomas Willwacher
We study two colored operads of configurations of little -disks in a unit -disk, with the centers of the small disks of one color restricted to an -plane, . We comput…
Real models for the framed little -disks operads
Anton Khoroshkin, Thomas Willwacher
We study the action of the orthogonal group on the little -disks operads. As an application we provide small models (over the reals) for the framed little -disks operads. It…
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,…
Pre-Lie pairs and triviality of the Lie bracket on the twisted hairy graph complexes
Thomas Willwacher
We study pre-Lie pairs, by which we mean a pair of a homotopy Lie algebra and a pre-Lie algebra with a compatible pre-Lie action. Such pairs provide a wealth of algebraic structure…