Tamarkin的构造对于Grothendieck-Teichmueller群的作用是等变的
Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group
摘要：
回想一下Tamarkin的构造arXiv：math/9803025，arXiv：math/0003052给了我们一个从Drinfeld结合子集合到多项式代数的Hochschild上链的L-无穷准同构的同伦类集合的映射。由于V. Drinfeld（Algebra i Analiz 2，（1990））和T. Willwacher arXiv：1009.1654这张地图的源和目标都配备了Grothendieck-Teichmueller群$GRT_1$的自然动作。本文利用arXiv：1305.4699的结果证明了从Drinfeld结合子集到Hochschild上链的L-无穷拟同构的同伦类集的映射是$GRT_1$ -等变的.
英文摘要：
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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