vix.ing · top · new · best · stats · spec

Equivariant Quantum Schubert Calculus

2004/06/03 by Leonardo C. Mihalcea, Mihalcea, Leonardo C.
Mathematics · #14M15 #14N15 #14N35 (primary) #57R91 (secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:14M15 #msc:14N15 #msc:14N35 #msc:57R91

paper · pdf · doi:10.48550/arxiv.math/0406066

24 pages, LaTeX

arxiv created 2004/06/03 · openalex publication_date 2004/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.

Related