Published Paper
Inserted: 16 jan 2023
Last Updated: 5 apr 2023
Journal: Forum Mathematicum
Volume: 35
Number: 2
Pages: 391-407
Year: 2023
Doi: 10.1515/forum-2022-0061
Abstract:
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.