The cohomology rings of regular nilpotent Hessenberg varieties

In this chapter, we give an overview of some of the past research on the cohomology rings of regular nilpotent Hessenberg varieties, with no claim to being exhaustive. For the purposes of this manuscript, we focus mainly on the case of Lie type A, with some brief remarks on the general Lie types. We end the chapter with a selection of topics currently active in this area.

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Publication Details

Published
2026-05-29
DOI
https://doi.org/10.1201/9781003145127-7
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

The cohomology rings of regular nilpotent Hessenberg varieties

Megumi Harada, Tatsuya Horiguchi
Algebraic Geometry and Number Theory
preprint

The cohomology rings of regular nilpotent Hessenberg varieties

Megumi Harada, Tatsuya Horiguchi
preprint en

Abstract

In this chapter, we give an overview of some of the past research on the cohomology rings of regular nilpotent Hessenberg varieties, with no claim to being exhaustive. For the purposes of this manuscript, we focus mainly on the case of Lie type A, with some brief remarks on the general Lie types. We end the chapter with a selection of topics currently active in this area.

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