Positivity of Peterson Schubert calculus
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Publication:6594398
DOI10.1016/J.AIM.2024.109879MaRDI QIDQ6594398
Rahul Singh, Leonardo C. Mihalcea, Rebecca Goldin
Publication date: 28 August 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
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- Positivity and Kleiman transversality in equivariant \(K\)-theory of homogeneous spaces
- The Betti numbers of regular Hessenberg varieties are palindromic
- Schubert polynomials and classes of Hessenberg varieties
- Orbits of a maximal torus on a flag space
- The red book of varieties and schemes
- Equivariant cohomology, Koszul duality, and the localization theorem
- Positivity in equivariant Schubert calculus.
- Kac-Moody groups, their flag varieties and representation theory
- Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\)
- 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
- Standard monomial theory. Invariant theoretic approach
- Paving Hessenberg varieties by affines
- Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
- Intersection theory of the Peterson variety and certain singularities of Schubert varieties
- A positive formula for type a Peterson Schubert calculus
- CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
- A positive Monk formula in the S 1 -equivariant cohomology of type A Peterson varieties
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
- The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types
- A Survey of Recent Developments on Hessenberg Varieties
- The Peterson variety and the wonderful compactification
- The Permutahedral Variety, Mixed Eulerian Numbers, and Principal Specializations of Schubert Polynomials
- Mixed Eulerian Numbers and Peterson Schubert Calculus
- Geometry of Peterson Schubert calculus in type A and left-right diagrams
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