Schubert Calculus in Complex Cobordism

DOI10.2307/2154142zbMath0757.57018OpenAlexW4235511599MaRDI QIDQ4018467

Paul Bressler, Sam Evens

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154142

zbMATH Keywords

Weyl groupflag manifoldSchubert varietycomplex cobordismroot systemflag varietycompact connected Lie groupBott-Samelson resolutionEuler classesresolution classescomplex cobordism Schubert calculusformal group law associated to complex cobordismring structure of \(MU^*(G/T)\)

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (13)

Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras ⋮ Equivariant cobordism of flag varieties and of symmetric varieties ⋮ The hyperbolic formal affine Demazure algebra ⋮ A Chevalley formula in equivariant \(K\)-theory ⋮ Stability of Bott–Samelson Classes in Algebraic Cobordism ⋮ PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY ⋮ Deformations of nilHecke algebras ⋮ Equivariant cobordism for torus actions ⋮ Universal Gysin formulas for the universal Hall-Littlewood functions ⋮ Schubert calculus for algebraic cobordism ⋮ Flag manifolds and the Landweber-Novikov algebra ⋮ Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism ⋮ Common subbundles and intersections of divisors

Cites Work

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• Demazure character formula in arbitrary Kac-Moody setting
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Elementary proofs of some results of cobordism theory using Steenrod operations
• T -equivariant K -theory of generalized flag varieties
• Characteristic Classes and Homogeneous Spaces, I
• Applications of the Theory of Morse to Symmetric Spaces
• Cohomologie T-équivariante de la variété de drapeaux d'un groupe de Kač-Moody
• On certain Hecke rings
• Representations of Hecke Algebras
• Désingularisation des variétés de Schubert généralisées
• The Schubert Calculus, Braid Relations, and Generalized Cohomology

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