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arXiv · 1402.7356

Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group

Vasily Dolgushev·Brian Paljug
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Abstract

Recall that Tamarkin's construction arXiv:math/9803025, arXiv:math/0003052 gives us a map from the set of Drinfeld associators to the set of homotopy classes of L-infinity quasi-isomorphisms for Hochschild cochains of a polynomial algebra. Due to results of V. Drinfeld (Algebra i Analiz 2, (1990)) and T. Willwacher arXiv:1009.1654 both the source and the target of this map are equipped with natural actions of the Grothendieck-Teichmueller group $GRT_1$. In this paper, we use the result from arXiv:1305.4699 to prove that this map from the set of Drinfeld associators to the set of homotopy classes of L-infinity quasi-isomorphisms for Hochschild cochains is $GRT_1$-equivariant.

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Vasily Dolgushev, Brian Paljug. 2014-02-28. Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group. https://arxiv.org/abs/1402.7356

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