Modular law through GKM theory

DOI10.5802/ALCO.380MaRDI QIDQ6634442

Tatsuya Horiguchi, Takashi Sato, Mikiya Masuda

Publication date: 7 November 2024

Published in: Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

torus actionequivariant cohomologyGKM theorychromatic symmetric functionHessenberg varietytwinmodular lawunicellular LLT polynomial

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Chromatic quasisymmetric functions
• Equivariant cohomology, Koszul duality, and the localization theorem
• Equivariant de Rham theory and graphs
• 1-skeleta, Betti numbers, and equivariant cohomology
• LLT polynomials, elementary symmetric functions and melting lollipops
• Chromatic symmetric functions from the modular law
• Permutation actions on equivariant cohomology
• Hessenberg Varieties
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• A proof of the shuffle conjecture
• A Symmetric Function of Increasing Forests
• Manifolds of Isospectral Matrices and Hessenberg Varieties
• Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties
• Unicellular LLT polynomials and twins of regular semisimple Hessenberg varieties
• Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture
• Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials

Related Items (1)

Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture

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