An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties

DOI10.1007/s00031-022-09763-3zbMath1530.14085arXiv1912.11763OpenAlexW2997555281MaRDI QIDQ6155897

Makoto Enokizono, Takahiro Nagaoka, Tatsuya Horiguchi, Akiyoshi Tsuchiya

Publication date: 7 June 2023

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11763

zbMATH Keywords

cohomologyregular nilpotent Hessenberg variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15)

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A Survey of Recent Developments on Hessenberg Varieties

Cites Work

• Unnamed Item
• Affine pavings of Hessenberg varieties for semisimple groups
• The equivariant cohomology rings of Peterson varieties
• The Betti numbers of regular Hessenberg varieties are palindromic
• Hessenberg varieties and hyperplane arrangements
• Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix
• Combinatorics and commutative algebra.
• Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\)
• Patch ideals and Peterson varieties
• A filtration on the cohomology rings of regular nilpotent Hessenberg varieties
• Geometry of regular Hessenberg varieties
• The connectedness of Hessenberg varieties
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Linear conditions imposed on flag varieties
• Permutation actions on equivariant cohomology
• Hessenberg Varieties
• Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
• The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types
• A Survey of Recent Developments on Hessenberg Varieties
• The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A