47 citations · 73 across the 4 of their papers we have counts for
4 papers
Equivariant formality of the little disks operad
Pedro Boavida de Brito, Joana Cirici, Geoffroy Horel
The little -disks operad is and -equivariantly formal over the rationals. Equivalently, the oriented and unoriented framed little disks operads are rationally form…
On the formality of the little disks operad in positive characteristic
Pedro Boavida de Brito, Geoffroy Horel
Using a variant of the Boardman-Vogt tensor product, we construct an action of the Grothendieck-Teichmüller group on the completion of the little n-disks operad . This action…
Operads of genus zero curves and the Grothendieck-Teichmüller group
Pedro Boavida de Brito, Geoffroy Horel, Marcy Robertson
We show that the group of homotopy automorphisms of the profinite completion of the genus zero surface operad is isomorphic to the (profinite) Grothendieck-Teichmüller group. Using…
Spaces of smooth embeddings and configuration categories
Pedro Boavida de Brito, Michael S. Weiss
In the homotopical study of spaces of smooth embeddings, the functor calculus method (Goodwillie-Klein-Weiss manifold calculus) has opened up important connections to operad theory…