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math.AT2016
Automorphisms of the little disks operad with torsion coefficients
Geoffroy Horel
We compute the automorphisms of the Bousfield-Kan completion at a prime p of the little two-disks operads and show that they are given by the pro-p Grothendieck-Teichmüller group.…
math.AT2016
Mixed Hodge structures and formality
Geoffroy Horel
We prove a formality theorem for algebraic objects internal to smooth complex varieties that are not compact but whose mixed Hodge structure has a certain purity property.