Cycles de Schubert et cohomologie équivariante de K/T. (Schubert cycles and equivariant cohomology of K/T)

DOI10.1007/BF01388791zbMath0624.22005MaRDI QIDQ1092180

Alberto Arabia

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143358

zbMATH Keywords

Weyl groupflag varietyequivariant cohomologycompact connected Lie groupcellular decompositionmaximal torusreduced decompositionsSchubert cyclespolynomial functions on Lie algebra

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Discrete subgroups of Lie groups (22E40) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (13)

Schubert polynomials: A historical approach ⋮ Excited Young diagrams and equivariant Schubert calculus ⋮ On the characteristic polynomials of orbital varieties ⋮ Tits systems in a class of Kac-Moody Steinberg groups ⋮ Equivariant Chow groups for torus actions ⋮ Cohomologie T-équivariante de la variété de drapeaux d'un groupe de Kač-Moody ⋮ PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY ⋮ Décompositions dans l'algèbre des différences divisées. (Decompositions in the algebra of divided differences) ⋮ Classes d'Euler équivariantes et points rationnellement lisses. (Equivariant Euler classes and rationally smooth points.) ⋮ Torsion and abelianization in equivariant cohomology ⋮ Push-pull operators on the formal affine Demazure algebra and its dual ⋮ Positivity of some intersections in \(K_0(G/B)\) ⋮ Yang–Baxter algebras, convolution algebras, and Grassmannians

Cites Work

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• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Superconnections and the Chern character
• Differential Operators on a Semisimple Lie Algebra
• On Cycles in Flag Manifolds.

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