1 citations · 1 across the 3 of their papers we have counts for
7 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…
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…
On the real homotopy type of compact complex surfaces
Joana Cirici
We show that on a compact complex surface all Massey products of cohomology classes in degree one vanish beyond length three. Dually, the real Malcev completion of the fundamental…
Model category structures on truncated multicomplexes for complex geometry
Joana Cirici, Muriel Livernet, Sarah Whitehouse
To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to -multicomplexes.…
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…