The integral cohomology rings of Peterson varieties in type A
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...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.2203.02629 |