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Étale cohomology, purity and formality with torsion coefficients

Étale cohomology, purity and formality with torsion coefficients

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 objects, to the dg-operad of singular chains of the operad of little disks and to the dg-algebra of singular cochains of the configuration space …