16 citations · 73 across the 20 of their papers we have counts for
5 papers · 1 filter
Sheaves of E-infinity algebras and applications to algebraic varieties and singular spaces
David Chataur, Joana Cirici
We describe the E-infinity algebra structure on the complex of singular cochains of a topological space, in the context of sheaf theory. As a first application, for any algebraic v…
Dolbeault cohomology for almost complex manifolds
Joana Cirici, Scott O. Wilson
This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manifolds. We define a spectral sequence converging to ordinary cohomology, whose fir…
Topological and geometric aspects of almost Kähler manifolds via harmonic theory
Joana Cirici, Scott O. Wilson
The well-known Kähler identities naturally extend to the non-integrable setting. This paper deduces several geometric and topological consequences of these extended identities for…
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 cons…
Model category structures and spectral sequences
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
Let k be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of k-modules, with cofibrantly generated model structures, where the class o…