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Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

2005/06/16 by Leonardo Constantin Mihalcea, Mihalcea, Leonardo Constantin
Mathematics · #05E05 #14F43 #14N35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:05E05 #msc:14F43 #msc:14N35

paper · pdf · doi:10.48550/arxiv.math/0506335

16 pages; changed title from previous version to match with version submitted, added MSC classification numbers

arxiv created 2005/07/07 · arxiv updated 2009/12/01

Abstract

We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the equivariant quantum Schubert classes. To prove this, we use the theory of factorial Schur functions and a characterization of the equivariant quantum cohomology ring.

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