On the formality of the little disks operad in positive characteristic

Abstract

Using a variant of the Boardman-Vogt tensor product, we construct an action of the Grothendieck-Teichmüller 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 of the formality theorem in characteristic zero.

arXiv comment35 pages

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Cited by in corpus (5)

• Etale cohomology, purity and formality with torsion coefficients
• Galois symmetries of knot spaces
• Moduli of framed formal curves
• Formality of little disks and algebraic geometry
• Non-formality of Voronov's Swiss-Cheese operads