• Corpus ID: 221534688

Structure Constants in equivariant oriented cohomology of flag varieties

@article{Goldin2020StructureCI,
title={Structure Constants in equivariant oriented cohomology of flag varieties},
author={Rebecca F. Goldin and Changlong Zhong},
journal={arXiv: Algebraic Geometry},
year={2020}
}
• Published 8 September 2020
• Mathematics
• arXiv: Algebraic Geometry
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…
3 Citations
• Mathematics
• 2022
We construct two explicit Leray-Hirsch isomorphisms for torus equivariant oriented cohomology of flag varieties and give several applications. One isomorphism is geometric, based on Bott-Samelson
• Mathematics
• 2020
For any Bott-Samelson resolution $q_{I}:\hat{X_{I}}\rightarrow G/B$ of the flag variety $G/B$, and any torus equivariant oriented cohomology $h_T$, we compute the restriction formula of certain basis
• Mathematics
• 2020
We use the formal affine Demazure algebra to construct an explicit Leray-Hirsch Theorem for torus equivariant oriented cohomology of flag varieties. We then generalize the Borel model of such theory

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