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

zbMath1350.55011arXiv1404.1199MaRDI QIDQ902240

Tatsuya Horiguchi

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1199

zbMATH Keywords

Springer variety

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91)

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The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A

Cites Work

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• Poset pinball, highest forms, and \((n-2,2)\) Springer varieties
• Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
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• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Poset pinball, GKM-compatible subspaces, and Hessenberg varieties