2000/04/21 by Anders Skovsted Buch, Buch, Anders Skovsted · 3 citations
Mathematics · #05E05 #05E10 (Secondary) #14M15 (Primary) 19E08 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.CO #math.KT #msc:05E05 #msc:05E10 #msc:14M15 #msc:19E08
paper · pdf · doi:10.48550/arxiv.math/0004137
This revision adds proofs of some unpublished results of A. Knutson regarding triple intersections of schubert structure sheaves, as well as an announcement from A. Lascoux that he can prove our Conjecture 6.14
openalex publication_date 2000/04/21 · arxiv created 2000/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove an explicit combinatorial formula for the structure constants of the Grothendieck ring of a Grassmann variety with respect to its basis of Schubert structure sheaves. We furthermore relate K-theory of Grassmannians to a bialgebra of stable Grothendieck polynomials, which is a K-theory parallel of the ring of symmetric functions.