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

DOI10.1093/imrn/rnx275zbMath1457.14118arXiv1512.09072OpenAlexW2963772517MaRDI QIDQ5855194

Hiraku Abe, Megumi Harada, Mikiya Masuda, Tatsuya Horiguchi

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09072

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items

Chromatic quasisymmetric functions ⋮ Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Upper triangular linear relations on multiplicities and the Stanley-Stembridge conjecture ⋮ Geometry of regular Hessenberg varieties ⋮ Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties ⋮ An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties ⋮ Gröbner geometry for regular nilpotent Hessenberg Schubert cells ⋮ Toward cohomology rings of intersections of Peterson varieties and Richardson varieties ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ A filtration on the cohomology rings of regular nilpotent Hessenberg varieties ⋮ A formula for the cohomology and \(K\)-class of a regular Hessenberg variety ⋮ Hessenberg varieties and hyperplane arrangements ⋮ Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties ⋮ The second cohomology of regular semisimple Hessenberg varieties from GKM theory ⋮ Toric surfaces with reflection symmetries

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