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

@article{Douglass2020TheLT, title={The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties}, author={J. Matthew Douglass and Changlong Zhong}, journal={arXiv: Algebraic Geometry}, year={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 to partial flag varieties.

## 3 Citations

### Morava K-theory of orthogonal groups and motives of projective quadrics.

- Mathematics
- 2020

For a generic quadric $Q$ we consider the category of Morava K-theory motives, and determine the indecomposable summands of the $\mathrm K(n)$-motive of $Q$. We also prove that the Morava K-theory of…

### Structure Constants in equivariant oriented cohomology of flag varieties

- Mathematics
- 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…

### 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…

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