The geometry and combinatorics of some Hessenberg varieties related to the permutohedral variety

DOI10.37236/11680zbMATH Open1548.05335MaRDI QIDQ6614170

Jan-Li Lin

Publication date: 7 October 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Hessenberg functionregular semisimple Hessenberg variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Chromatic quasisymmetric functions
• Eulerian numbers, tableaux, and the Betti numbers of a toric variety
• The cohomology rings of regular semisimple Hessenberg varieties for \(h = (h(1),n,\dots,n)\)
• Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
• Introduction to Toric Varieties. (AM-131)
• Permutation actions on equivariant cohomology
• Permutation representations on Schubert varieties
• Hessenberg Varieties
• Toric varieties
• Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties
• Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties

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