Structure Constants in equivariant oriented cohomology of flag varieties

2020/09/08 by Rebecca Goldin, Goldin, Rebecca, Changlong Zhong +1
Mathematics · #14M15 (Primary) #20C08 (Secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2009.03466

openalex publication_date 2020/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert classes of Goldin-Knutson, and that of structure constants of Segre-Schwartz-MacPherson classes of Su. We also obtain a formula for K-theoretic stable basis. Our method comes from the study of formal affine Demazure algebra, so is purely algebraic, while the above mentioned results are geometric.

Citations

• Elliptic and K-theoretic stable envelopes and Newton polytopes

Related

• Schubert structure operators and K_T(G/B)
• On equivariant oriented cohomology of Bott-Samelson varieties
• K-theorie equivariante des varietes de Bott-Samelson. Application a la structure multiplicative de la K-theorie equivariante des varietes de drapeaux
• Structure constants for Chern classes of Schubert cells
• The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties