2016/04/26 by Anders Skovsted Buch, Anders S. Buch, Pierre-Emmanuel Chaput +7 · 10 citations
Mathematics · #14M15 #14N15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics #Combinatorics (math.CO) #Conjecture #Divisor (algebraic geometry) #Equivariant map #FOS: Mathematics #Flag (linear algebra) #K-theory (physics) #Mathematics #Multiplication (music) #Physics #Primary 14N35 #Pure mathematics #Quantum #Quantum mechanics #Ring (chemistry) #Secondary 19E08 #Type (biology) #Variety (cybernetics) #math.AG #math.CO #msc:14M15 #msc:14N15 #msc:14N35 #msc:19E08
paper · pdf · doi:10.48550/arxiv.1604.07500
published in arXiv (Cornell University) (Cornell University) · version 2: 28 pages; few examples, and a simplified Chevalley formula in the minuscule case, are added
openalex publication_date 2016/04/26 · arxiv created 2017/06/08 · arxiv updated 2017/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum K-theory ring of any cominuscule flag variety G/P. We also prove that multiplication with divisor classes determines the equivariant quantum K-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum K-theory of Grassmannians of Lie type A.