Equivariant \(K\)-theory of Bott towers. Application to the multiplicative structure of the equivariant \(K\)-theory of flag varieties

DOI10.1215/S0012-7094-06-13223-4zbMath1118.19002OpenAlexW1554597054MaRDI QIDQ2495305

Matthieu Willems

Publication date: 5 July 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-06-13223-4

zbMATH Keywords

equivariant \(K\)-theoryBott towersflag verieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Equivariant (K)-theory (19L47)

Related Items (11)

EQUIVARIANT -THEORY OF GRASSMANNIANS ⋮ \(K\)-theory of minuscule varieties ⋮ Cominuscule points and Schubert varieties ⋮ A Chevalley formula in equivariant \(K\)-theory ⋮ Equivariant K-theory and tangent spaces to Schubert varieties ⋮ Rhombic tilings and Bott–Samelson varieties ⋮ Equivariant K-theory of quaternionic flag manifolds ⋮ Schubert patches degenerate to subword complexes ⋮ Effective divisors on Bott-Samelson varieties ⋮ \(\mathsf{K}\)-orbit closures and Barbasch-Evens-Magyar varieties ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

Cites Work

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• T-equivariant K-theory of generalized flag varieties
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Bott towers, complete integrability, and the extended character of representations
• The degree of a Schubert variety.
• Multiplicative rule of Schubert classes
• A Pieri formula in the Grothendieck ring of a flag bundle
• Kac-Moody groups, their flag varieties and representation theory
• Positivity in the Grothendieck group of complex flag varieties.
• Affine Hecke algebras and the Schubert calculus
• Kostant polynomials and the cohomology ring for \(G/B\)
• Equivariant K-theory
• Applications of the Theory of Morse to Symmetric Spaces
• COHOMOLOGIE ÉQUIVARIANTE DES TOURS DE BOTT ET CALCUL DE SCHUBERT ÉQUIVARIANT
• Désingularisation des variétés de Schubert généralisées
• A Pieri-Chevalley formula in the K-theory of a 𝐺/𝐵-bundle
• Cohomologie et K-théorie équivariantes des variétés de Bott-Samelson et des variétés de drapeaux

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