Cohomologie et K-theorie equivariantes des tours de Bott et des varietes de drapeaux. Application au calcul de Schubert

2003/11/06 by Matthieu Willems, Willems, Matthieu
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0311079

arxiv created 2003/11/06 · openalex publication_date 2003/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the structure of the equivariant cohomology and K-theory of Bott towers. By restriction, we obtain similar results for Bott-Samelson varieties. This results allow us to describe more precisely the equivariant cohomology and K-theory of the flag variety X. We give an expression for the cup product in H_T^*(X).

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