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Nil-Hecke rings and the Schubert calculus

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arxiv 2310.01167 v1 pith:RO6SNMEM submitted 2023-10-02 math.AG math.CO

Edward Richmond , Kirill Zainoulline This is my paper · ORCID
classification math.AGmath.CO
keywords calculusflagnil-heckeschuberttechniquesvarietiesalgebrasapplied
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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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  1. Richardson tableaux and components of Springer fibers equal to Richardson varieties

    math.CO 2025-06 accept novelty 7.0 of 10

    Richardson tableaux are exactly the tableaux whose Springer fiber component is a Richardson variety, and they are counted by Motzkin numbers.

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