# 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} }

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

### A G ] 7 J an 2 02 2 THE LERAY-HIRSCH THEOREM FOR ORIENTED COHOMOLOGY OF FLAG VARIETIES

- 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…

### On equivariant oriented cohomology of Bott-Samelson varieties

- 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…

### The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties

- 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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Abstract
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