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

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.

arXiv comment10 pages

References in corpus (1)

• Poset pinball, GKM-compatible subspaces, and Hessenberg varieties

Cited by in corpus (1)

• The equivariant cohomology rings of regular nilpotent Hessenberg varieties in Lie type A: a research announcement