Positivity of Peterson Schubert calculus
type: Item
instance of: scholarly article
title: Positivity of Peterson Schubert calculus
author: Rebecca Goldin
author: Leonardo C. Mihalcea
author: Rahul Singh
published in: Advances in Mathematics
publication date: 2024-08-28T00:00:00Z
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14N15
zbMATH DE Number: 7902803
zbMATH Keywords: Peterson varieties
zbMATH Keywords: equivariant cohomology
zbMATH Keywords: positivity
MaRDI profile type: Publication
cites work: Geometry of regular Hessenberg varieties
cites work: Positivity and Kleiman transversality in equivariant \(K\)-theory of homogeneous spaces
cites work: A Survey of Recent Developments on Hessenberg Varieties
cites work: Geometry of Peterson Schubert calculus in type A and left-right diagrams
cites work: Q4296997
cites work: Schubert polynomials and classes of Hessenberg varieties
cites work: The Peterson variety and the wonderful compactification
cites work: Kostant polynomials and the cohomology ring for \(G/B\)
cites work: Q3999894
cites work: Q3843151
cites work: Q2774024
cites work: Q3156787
cites work: Q5662096
cites work: Q2785535
cites work: Q4863383
cites work: Monk's rule and Giambelli's formula for Peterson varieties of all Lie types
cites work: Q4002278
cites work: Q3129746
cites work: Q4342000
cites work: A positive formula for type a Peterson Schubert calculus
cites work: Equivariant cohomology, Koszul duality, and the localization theorem
cites work: Q5690485
cites work: Positivity in equivariant Schubert calculus.
cites work: The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types
cites work: Mixed Eulerian Numbers and Peterson Schubert Calculus
cites work: Q3866809
cites work: A positive Monk formula in the S 1 -equivariant cohomology of type A Peterson varieties
cites work: Q4089001
cites work: Schubert calculus and the homology of the Peterson variety
cites work: Intersection theory of the Peterson variety and certain singularities of Schubert varieties
cites work: Q4775956
cites work: Orbits of a maximal torus on a flag space
cites work: Q4341984
cites work: The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
cites work: Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\)
cites work: Kac-Moody groups, their flag varieties and representation theory
cites work: Standard monomial theory. Invariant theoretic approach
cites work: Q5844858
cites work: The red book of varieties and schemes
cites work: The Permutahedral Variety, Mixed Eulerian Numbers, and Principal Specializations of Schubert Polynomials
cites work: The Betti numbers of regular Hessenberg varieties are palindromic
cites work: Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
cites work: Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
cites work: Chow groups, Chow cohomology, and linear varieties
cites work: Paving Hessenberg varieties by affines
DOI: 10.1016/J.AIM.2024.109879
description: scientific article; zbMATH DE number 7902803