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arXiv · 1404.1199

The $S^1$-equivariant cohomology rings of $(n-k,k)$ Springer varieties

Tatsuya Horiguchi
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Abstract

The main result of this note gives an explicit presentation of the $S^1$-equivariant cohomology ring of the $(n-k,k)$ Springer variety (in type $A$) as a quotient of a polynomial ring by an ideal $I$, in the spirit of the well-known Borel presentation of the cohomology of the flag variety.

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Tatsuya Horiguchi. 2016-02-08. The $S^1$-equivariant cohomology rings of $(n-k,k)$ Springer varieties. https://arxiv.org/abs/1404.1199

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