论文标题
Jacobian猜想：着色Abdesselam-Rivasseau模型
Jacobian conjecture: coloring Abdesselam-Rivasseau model
论文作者
论文摘要
我们考虑将雅各布猜想（JC）变成扰动量子场理论的问题的Abdesselam-Rivasseau（AR）模型。在AR模型中，JC反向映射由形式积分生成该地图的扩展。通过将颜色分配给AR模型顶点的边缘并执行选择性高斯集成，我们显示了对逆映射的树系列的终止。后者意味着JC的正确性。
We consider the Abdesselam-Rivasseau (AR) model turning the Jacobian Conjecture (JC) into a problem of the perturbative quantum field theory. Within the AR model, the JC inverse map is represented by a formal integral generating the tree's expansion for this map. By assigning colors to the edges in the vertex of the AR model and performing selective Gaussian integration, we show the termination of the tree's series for the inverse map. The latter implies the correctness of JC.
