2004/12/03 by Anders Skovsted Buch, A. S. Buch, Richárd Rimányi +3
Mathematics · #05E15 #14M12 #14N10 #57R45 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:05E15 #msc:14M12 #msc:14N10 #msc:57R45
paper · pdf · doi:10.48550/arxiv.math/0412073
Final version to appear in Journal of Algebraic Geometry
openalex publication_date 2004/12/03 · arxiv created 2006/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a positive combinatorial formula for the equivariant class of an orbit closure in the space of representations of an arbitrary quiver of type A. Our formula expresses this class as a sum of products of Schubert polynomials indexed by a generalization of the minimal lace diagrams of Knutson, Miller, and Shimozono. The proof is based on the interpolation method of Fehér and Rimányi. We also conjecture a more general formula for the equivariant Grothendieck class of an orbit closure.