Affine pavings of Hessenberg varieties for semisimple groups
From MaRDI portal
Publication:387652
DOI10.1007/s00029-012-0109-zzbMath1292.14032arXiv1205.3976OpenAlexW2048193430MaRDI QIDQ387652
Publication date: 23 December 2013
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.3976
Grassmannians, Schubert varieties, flag manifolds (14M15) Classical real and complex (co)homology in algebraic geometry (14F25) Classical groups (algebro-geometric aspects) (14L35)
Related Items (25)
Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Intersection theory of the Peterson variety and certain singularities of Schubert varieties ⋮ Hessenberg varieties associated to ad-nilpotent ideals ⋮ Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies ⋮ Geometry of regular Hessenberg varieties ⋮ Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties ⋮ The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials ⋮ An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties ⋮ Gröbner geometry for regular nilpotent Hessenberg Schubert cells ⋮ Springer fibers and the Delta Conjecture at \(t = 0\) ⋮ Toward cohomology rings of intersections of Peterson varieties and Richardson varieties ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ Hessenberg varieties of parabolic type ⋮ The singular locus of semisimple Hessenberg varieties ⋮ Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties ⋮ The Betti numbers of regular Hessenberg varieties are palindromic ⋮ The Containment Poset of Type $A$ Hessenberg Varieties ⋮ A filtration on the cohomology rings of regular nilpotent Hessenberg varieties ⋮ The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture ⋮ The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture ⋮ Hessenberg varieties and hyperplane arrangements ⋮ Borel subgroups adapted to nilpotent elements of standard Levi type ⋮ The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A ⋮ Paving Springer fibers for \(E7\) ⋮ The connectedness of Hessenberg varieties
Cites Work
- Unnamed Item
- Unnamed Item
- On linearizing algebraic torus actions
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Paving Hessenberg varieties by affines
- Linear conditions imposed on flag varieties
- Linearizing Certain Reductive Group Actions
- Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
- Hessenberg Varieties
- Introduction to Lie Algebras and Representation Theory
This page was built for publication: Affine pavings of Hessenberg varieties for semisimple groups
