• Corpus ID: 221655283

# 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}
}
• Published 13 September 2020
• Mathematics
• arXiv: Algebraic Geometry
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
• 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
• 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
• 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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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
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