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Accepted version

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2022-10-27

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/195520

Étale cohomology, purity and formality with torsion coefficients

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https://doi.org/10.1112/topo.12273

Abstract

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 of points in the complex space. The formality that we obtain is only up to a certain degree, which depends on the cardinality of the field of coefficients.

Subject

Teoria de l'homotopia, Topologia algebraica, Anells associatius

Subject (English)

Homotopy theory, Algebraic topology, Associative rings

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CIRICI, Joana and HOREL, Geoffroy. Étale cohomology, purity and formality with torsion coefficients. Journal Of Topology. 2022. Vol. 15, num. 4, pags. 2270-2297. ISSN 1753-8416. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/195520

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