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On the formality of the little disks operad in positive characteristic

On the formality of the little disks operad in positive characteristic

Using a variant of the Boardmanā€“Vogt tensor product, we construct an action of the Grothendieckā€“TeichmĆ¼ller group on the completion of the little n-disks operad E n . This action is used to establish a partial formality theorem for E n with mod p coefficients and to give a new proof ā€¦