16 citations · 73 across the 20 of their papers we have counts for
Showing 2018 · math.ATShow all
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math.AT2018★ 1 cited
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…
math.AT2018★ 13 cited
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…
math.AT2018★ 9 cited
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…