3 papers
math.AT2026
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…
math.AT2025
Galois symmetries of knot spaces
Pedro Boavida de Brito, Geoffroy Horel
We exploit the Galois symmetries of the little disks operads to show that many differentials in the Goodwillie-Weiss spectral sequences approximating the homology and homotopy of k…
math.AT2025
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…