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

Matthieu Willems
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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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Matthieu Willems. 2003-11-06. Cohomologie et $K$-theorie equivariantes des tours de Bott et des varietes de drapeaux. Application au calcul de Schubert. https://arxiv.org/abs/math/0311079

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