$K$ -théorie équivariante des tours de Bott. Application à la structure multiplicative de la $K$ -théorie équivariante des variétés de drapeaux
Willems, Matthieu
Duke Math. J., Tome 131 (2006) no. 1, p. 271-309 / Harvested from Project Euclid
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(Equivariant $K$ -theory of Bott towers. Application to the multiplicative structure of the equivariant $K$ -theory of flag varieties) ¶ We construct a basis of the equivariant $K$ -theory of Bott towers, and we describe precisely the multiplicative structure of these algebras. We deduce similar results for Bott-Samelson varieties. Thanks to the link between flag varieties and Bott-Samelson varieties, we give a method to compute the structure constants of the equivariant $K$ -theory of flag varieties in the basis constructed by Kostant and Kumar in [18]
Publié le : 2006-04-01
Classification:  19L47,  14M15,  14M25 
@article{1142517219,
     author = {Willems, Matthieu},
     title = {$K$ -th\'eorie \'equivariante des tours de Bott. Application \`a la structure multiplicative de la $K$ -th\'eorie \'equivariante des vari\'et\'es de drapeaux},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 271-309},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1142517219}
}

Willems, Matthieu. $K$ -théorie équivariante des tours de Bott. Application à la structure multiplicative de la $K$ -théorie équivariante des variétés de drapeaux. Duke Math. J., Tome 131 (2006) no. 1, pp.  271-309. http://gdmltest.u-ga.fr/item/1142517219/