标题： 一种Goldman-Turaev李双代数的正则同伦版本，Enomoto-Satoh迹数以及Kashiwara-Vergne问题中的散度上循环 显示英文标题

标题： A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem

摘要： 通过引入Goldman-Turaev李双代数的改进形式，我们将Kashiwara-Vergne问题中的散度上循环以及Johnson同态满射性的Enomoto-Satoh障碍解释为Turaev余括号的正则同伦版本的一部分。 显示英文摘要

摘要： By introducing a refinement of the Goldman-Turaev Lie bialgebra, we interpret the divergence cocycle in the Kashiwara-Vergne problem and the Enomoto-Satoh obstructions for the surjectivity of the Johnson homomorphisms as some part of a regular homotopy version of the Turaev cobracket.