Structure Constants in equivariant oriented cohomology of flag varieties
Algebraic Geometry
2024-04-15 v2
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.
Keywords
Cite
@article{arxiv.2009.03466,
title = {Structure Constants in equivariant oriented cohomology of flag varieties},
author = {Rebecca Goldin and Changlong Zhong},
journal= {arXiv preprint arXiv:2009.03466},
year = {2024}
}
Comments
24 pages; v2: final version, to appear in Math. Zeitschrift