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COHOMOLOGIE ÉQUIVARIANTE DES TOURS DE BOTT ET CALCUL DE SCHUBERT ÉQUIVARIANT

Published online by Cambridge University Press:  21 October 2005

Matthieu Willems
Matthieu Willems
Affiliation:
UFR de Mathématiques, Université Paris 7 Denis Diderot, 2, place Jussieu, Case 7012, 75251 Paris Cedex 05, France ([email protected])
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Abstract

On calcule les restrictions aux points fixes de deux bases de la cohomologie équivariante des tours de Bott, et on précise la structure multiplicative de ces algèbres de cohomologie. En s’aidant du travail de Duan, on en déduit une méthode de calcul des constantes de structure de la cohomologie équivariante des variétés de drapeaux (calcul de Schubert équivariant).

‘Equivariant cohomology of Bott towers and equivariant Schubert calculus’. We calculate the restrictions to fixed points of two bases of the equivariant cohomology of Bott towers, and we describe the multiplicative structure of these cohomology algebras. We build on the work of Duan to give a method to calculate the structure constants of the equivariant cohomology of the flag varieties (equivariant Schubert calculus).

Keywords

cohomologie équivariantevariétés de drapeauxcalcul de Schubertequivariant cohomologyflag manifoldsSchubert calculusPrimary 55N9114M1514N15
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 5 , Issue 1 , January 2006 , pp. 125 - 159
Copyright
2005 Cambridge University Press

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