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

Published 28 Aug 2013 in math.QA | (1308.6097v2)

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-Teichm\"uller group on such objects (up to homotopy).

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Thomas Willwacher

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