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arXiv · 2310.01167

Nil-Hecke rings and the Schubert calculus

Edward Richmond·Kirill Zainoulline
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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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Edward Richmond, Kirill Zainoulline. 2023-10-02. Nil-Hecke rings and the Schubert calculus. https://arxiv.org/abs/2310.01167

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