余秩一流形上的GKM作用
微分几何
2023-01-31 v2 代数拓扑
摘要
我们考虑紧李群在紧流形上的余秩一作用，使得轨道空间为闭区间。对于的极大环面，我们找到了的群图满足在上的作用为GKM型的充要条件，并描述了其GKM图。一般结果通过具体例子加以说明。
引用
@article{arxiv.2202.07700,
title = {GKM actions on cohomogeneity one manifolds},
author = {Oliver Goertsches and Eugenia Loiudice and Giovanni Russo},
journal= {arXiv preprint arXiv:2202.07700},
year = {2023}
}
备注
18 pages, 6 figures, 3 tables. Minor changes, in particular additional explanations were added in the proof of Proposition 2.3. Proposition 3.6 added. Results are unchanged