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Formality of little disks and algebraic geometry (2103.15054v1)

Published 28 Mar 2021 in math.AT and math.AG

Abstract: We construct a canonical chain of formality quasiisomorphisms for the operad of chains on framed little disks and the operad of chains on little disks. The construction is done in terms of logarithmic algebraic geometry and is remarkable for being rational (and indeed definable integrally) in de Rham cohomology.

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