复射影空间的 $C_2$-等变上同调
代数拓扑
2022-05-17 v4
摘要
我们计算了与 的有限维表示相关的复射影空间的等变上同调,使用按基本群胚的表示分次的普通上同调,系数取自Burnside环Mackey函子。这种对 -分次理论的推广允许定义欧拉类,其被用作射影空间上同调的生成元。作为一个应用,我们给出了Bezout定理的等变版本。
引用
@article{arxiv.1811.07355,
title = {The $C_2$-equivariant cohomology of complex projective spaces},
author = {Steven R. Costenoble and Thomas Hudson and Sean Tilson},
journal= {arXiv preprint arXiv:1811.07355},
year = {2022}
}
备注
57 pages, this is a major update. The proof of the main result has been simplified. As an application an equivariant version of Bezout's theorem was added