The Kashiwara-Vergne conjecture and Drinfeld’s associators

@article{Alekseev2008TheKC,
  title={The Kashiwara-Vergne conjecture and Drinfeld’s associators},
  author={A. Alekseev and Charles Torossian},
  journal={Annals of Mathematics},
  year={2008},
  volume={175},
  pages={415-463}
}
The Kashiwara-Vergne (KV) conjecture is a property of the Campbell-Hausdorff series put forward in 1978. It has been settled in the positive by E. Meinrenken and the first author in 2006. In this paper, we study the uniqueness issue for the KV problem. To this end, we introduce a family of infinite-dimensional groups KRV 0 n , and a group KRV 2 which contains KRV 0 2 as a normal subgroup. We show that KRV 2 also contains the Grothendieck-Teichmuller group GRT 1 as a subgroup, and that it acts… 

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