具有单生成有理上同调的双商空间
微分几何
2017-06-27 v2 代数拓扑
摘要
我们分类了所有有理上同调环由单个元素生成的双商空间。作为推论，我们证明了 Gromoll-Meyer 7-球面是可写为双商空间的唯一奇异球面。
引用
@article{arxiv.math/0210231,
title = {Biquotients with singly generated rational cohomology},
author = {Vitali Kapovitch and Wolfgang Ziller},
journal= {arXiv preprint arXiv:math/0210231},
year = {2017}
}
备注
A missing homogeneous example added in Theorem A, as was pointed out by Jason DeVito