A Survey of Recent Developments on Hessenberg Varieties

DOI10.1007/978-981-15-7451-1_10zbMath1451.14141arXiv1904.11155OpenAlexW3132637925MaRDI QIDQ5132480

Hiraku Abe, Tatsuya Horiguchi

Publication date: 12 November 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11155

zbMATH Keywords

cohomologyflag varietiesrepresentations of symmetric groupshyperplane arrangementsHessenberg varietieschromatic symmetric functions.

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Classical problems, Schubert calculus (14N15) Configurations and arrangements of linear subspaces (14N20) Combinatorial aspects of algebraic geometry (05E14)

Related Items

Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties, An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties, Torus fixed point sets of Hessenberg Schubert varieties in regular semisimple Hessenberg varieties, Chromatic symmetric functions from the modular law, The second cohomology of regular semisimple Hessenberg varieties from GKM theory

Cites Work

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