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Nil-Hecke rings and the Schubert calculus

2023/10/02 by Richmond, Edward, Zainoulline, Kirill · 1 citation
#05E14 #14C15 #14M15 #19L41 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.01167

Abstract

The purpose of the present notes is to give a self-contained exposition on the use of the techniques of Nil-Hecke algebras in the localization approach to the equivariant Schubert calculus for cohomology of flag varieties. We also demonstrate how these techniques can be applied to non-crystallographic root systems as well as to study (connective) K-theory of flag varieties.

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