Toward cohomology rings of intersections of Peterson varieties and Richardson varieties
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Publication:6203785
DOI10.1016/j.jalgebra.2024.01.046arXiv2208.02440OpenAlexW4392303272MaRDI QIDQ6203785
Publication date: 8 April 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.02440
Grassmannians, Schubert varieties, flag manifolds (14M15) Equivariant homology and cohomology in algebraic topology (55N91)
Cites Work
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- Affine pavings of Hessenberg varieties for semisimple groups
- The equivariant cohomology rings of Peterson varieties
- The Betti numbers of regular Hessenberg varieties are palindromic
- Hessenberg varieties and hyperplane arrangements
- Combinatorics and commutative algebra.
- Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\)
- Patch ideals and Peterson varieties
- A Giambelli formula for the \(S^1\)-equivariant cohomology of type \(A\) Peterson varieties
- Kostant polynomials and the cohomology ring for \(G/B\)
- Geometry of regular Hessenberg varieties
- Monk's rule and Giambelli's formula for Peterson varieties of all Lie types
- Schubert calculus and the homology of the Peterson variety
- Poset pinball, GKM-compatible subspaces, and Hessenberg varieties
- Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
- A positive formula for type a Peterson Schubert calculus
- A positive Monk formula in the S 1 -equivariant cohomology of type A Peterson varieties
- Presenting the cohomology of a Schubert variety
- Linear conditions imposed on flag varieties
- SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
- Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
- The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types
- Introduction to Lie Algebras and Representation Theory
- The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A