The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties
J. Matthew Douglass, Changlong Zhong
TL;DR
This paper develops an explicit Leray-Hirsch theorem for torus equivariant oriented cohomology of flag varieties using formal affine Demazure algebra, and extends the Borel model to partial flag varieties.
Contribution
It introduces a new explicit Leray-Hirsch theorem for equivariant cohomology of flag varieties and generalizes the Borel model to partial flag varieties.
Findings
Constructed an explicit Leray-Hirsch theorem for flag varieties.
Generalized the Borel model to partial flag varieties.
Utilized formal affine Demazure algebra in the construction.
Abstract
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.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology