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

Mathematics – Algebraic Geometry

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Scientific paper

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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