论文标题
彼得森品种A型的整体共同体戒指
The integral cohomology rings of Peterson varieties in type A
论文作者
论文摘要
在本文中，我们研究了Peterson品种类型$ \ text {a} _ {n-1} $的彼得森品种的整体共同体的环结构。我们给出两种描述：（1）我们表明，它与固定式内部品种的积分共同体学环的$ \ mathfrak {s} _n $ invariant子环是同构，（2）我们根据环发生器及其关系确定环结构。
In this paper, we study the ring structure of the integral cohomology of the Peterson variety of type $\text{A}_{n-1}$. We give two kinds of descriptions: (1) we show that it is isomorphic to the $\mathfrak{S}_n$-invariant subring of the integral cohomology ring of the permutohedral variety, (2) we determine the ring structure in terms of ring generators and their relations.
