The integral cohomology rings of Peterson varieties in type A
Abstract
In this paper, we study the ring structure of the integral cohomology of the Peterson variety of type An-1. We give two kinds of descriptions: (1) we show that it is isomorphic to the Sn-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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