1 citations · 1 across the 4 of their papers we have counts for
11 papers
On the l-adic homotopy type of configuration spaces
Joana Cirici, Geoffroy Horel
We give algebraic models for the tame homotopy type of the configuration spaces of certain algebraic varieties of Tate type. Such tame models carry information on the l-adic homoto…
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…
E2 formality via obstruction theory
Geoffroy Horel
We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a…
Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds
Joana Cirici, Geoffroy Horel
Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains…
Etale cohomology, purity and formality with torsion coefficients
Joana Cirici, Geoffroy Horel
We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related con…
Two remarks on spaces of maps between operads of little cubes
Geoffroy Horel, Manuel Krannich, Alexander Kupers
We record two facts on spaces of derived maps between the operads of little -cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the non-unit…