The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope

DOI10.1134/S0081543819030192zbMath1429.14028arXiv1812.10112OpenAlexW2980664267MaRDI QIDQ2285412

Megumi Harada, Seonjeong Park, Tatsuya Horiguchi, Mikiya Masuda

Publication date: 8 January 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10112

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05) Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (5)

Remixed Eulerian numbers ⋮ Fano and weak Fano Hessenberg varieties ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ Toric Bruhat interval polytopes ⋮ Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers

Uses Software

• GitHub
• Maple-flag-cohomology

Cites Work

• Unnamed Item
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• Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies
• Toric Bruhat interval polytopes
• Schubert calculus and Gelfand-Zetlin polytopes
• The Geometry of Flag Manifolds
• Gelfand-Zetlin polytopes and flag varieties
• Permutohedra, Associahedra, and Beyond
• Hessenberg Varieties
• Lectures on Polytopes
• Semifree circle actions, Bott towers and quasitoric manifolds
• Lectures on the Geometry of Flag Varieties
• Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties
• The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture

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