论文标题
对某些多面体产品的循环群体作用的模棱两可的共同体
The equivariant cohomology for cyclic group actions on some polyhedral products
论文作者
论文摘要
在过去的几十年中，已广泛研究了紧凑型阿伯利亚群体和基本阿贝尔p组的作用的模棱两可的共同体学。我们研究了其中一些结果，这些结果是有限循环基团在一个积极特征领域的作用。特别是，我们研究了对分类空间的共同体学的模块结构，并为此环上的Freeness提供了标准，并提供了该环的多项式子来源。我们将这些结果应用于有限循环基团对由多go边界产生的多面体产物的规范作用
The equivariant cohomology for actions of compact connected abelian groups and elementary abelian p-groups have been widely studied in the last decades. We study some of these results on actions of finite cyclic groups over a field of positive characteristic. In particular, we study the module structure of the equivariant cohomology over the cohomology of the classifying space and we provide a criterion for freeness over this ring and the polynomial subring of it. We apply these results to canonical actions of finite cyclic groups on polyhedral products arising from the boundary of a polygo
