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

Willwacher, Thomas

In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 726, p. 249-265

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    Titre
    • The Grothendieck-Teichmüller group action on differential forms and formality morphisms of chains
    Auteur
    • Willwacher, Thomas. Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 726, p. 249-265. De Gruyter
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331627
    Summary
    It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. In the present paper, 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).