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arXiv · 2009.03466

Structure Constants in equivariant oriented cohomology of flag varieties

Rebecca Goldin·Changlong Zhong
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Abstract

We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert classes of Goldin-Knutson, and that of structure constants of Segre-Schwartz-MacPherson classes of Su. We also obtain a formula for K-theoretic stable basis. Our method comes from the study of formal affine Demazure algebra, so is purely algebraic, while the above mentioned results are geometric.

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Rebecca Goldin, Changlong Zhong. 2024-04-12. Structure Constants in equivariant oriented cohomology of flag varieties. https://arxiv.org/abs/2009.03466

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