The Grothendieck-Teichmüller group action on differential forms and formality morphism of chains

Abstract

It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. We show that this morphism may be extended to a Kontsevich-Shoikhet formality morphism of cochains and chains, by describing the action of the Grothendieck-Teichmüller group on such objects (up to homotopy).

References in corpus (4)

• Hydrodynamic Limit For An Active Exclusion Process
• Equivalence of formalities of the little discs operad
• Formality of the homotopy calculus algebra of Hochschild (co)chains
• P. Etingof's conjecture about Drinfeld associators