论文标题
GKM对同构性的行动
GKM actions on cohomogeneity one manifolds
论文作者
论文摘要
我们认为紧凑型歧管$ m $具有同构性的一个紧凑型谎言组$ g $的动作，使轨道空间$ m/g $是封闭的间隔。对于$ g $的最大圆环$ t $，我们在$ m $的组图上找到了必要且足够的条件，以便$ m $上的$ t $ Action是GKM类型的，并描述其GKM图。一般结果在明确的示例中进行了说明。
We consider compact manifolds $M$ with a cohomogeneity one action of a compact Lie group $G$ such that the orbit space $M/G$ is a closed interval. For $T$ a maximal torus of $G$, we find necessary and sufficient conditions on the group diagram of $M$ such that the $T$-action on $M$ is of GKM type, and describe its GKM graph. The general results are illustrated on explicit examples.
