关于有理Drinfeld结合子
On rational Drinfeld associators
摘要：
本文证明了有理Drinfeld结合子的广义算子的一个估计。为了得到这个结果，我们证明了在Gal（\bar{Q} /Q）中适当元素的作用下p-adic结合子稳定的相应估计.作为应用，我们解决了特征p域上自由李代数中Jacobson元J_p（x，y）=（x+y）^p-x^p-y^p的Kashiwara-Vergne因子分解的Duflo正问题.另一个应用是Kontsevich结不变量的分解子的新估计.
英文摘要：
We prove an estimate on denominators of rational Drinfeld associators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action of suitable elements of Gal(\bar{Q}/Q). As an application, we settle in the positive Duflo's question on the Kashiwara--Vergne factorizations of the Jacobson element J_p(x,y)=(x+y)^p-x^p-y^p in the free Lie algebra over a field of characteristic p. Another application is a new estimate on denominators of the Kontsevich knot invariant.
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