Multiplicative rule of Schubert classes

DOI10.1007/s00222-004-0394-zzbMath1077.14067arXivmath/0306227OpenAlexW2952615624MaRDI QIDQ1770268

Hai Bao Duan

Publication date: 14 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0306227

zbMATH Keywords

Schubert calculusclassical problemshomogeneous spaces and generalizations

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Classical problems, Schubert calculus (14N15)

Related Items (19)

Singularities of Generalized Richardson Varieties ⋮ Erratum: Multiplicative rule of Schubert classes ⋮ Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces ⋮ Cartan models and cellular decompositions of symmetric Riemannian spaces ⋮ A Chevalley formula in equivariant \(K\)-theory ⋮ Schubert presentation of the cohomology ring of flag manifolds ⋮ Representation ring of Levi subgroups versus cohomology ring of flag varieties. III ⋮ Gromov-Witten invariants for $G/B$ and Pontryagin product for $ΩK$ ⋮ Littlewood-Richardson coefficients for reflection groups. ⋮ Chern class of Schubert cells in the flag manifold and related algebras ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ Effective algorithms for computing triangular operator in Schubert calculus ⋮ The Chow rings of generalized Grassmannians ⋮ Equivariant \(K\)-theory of Bott towers. Application to the multiplicative structure of the equivariant \(K\)-theory of flag varieties ⋮ Growth diagrams for the Schubert multiplication ⋮ \(W\)-translated Schubert divisors and transversal intersections ⋮ ALGORITHM FOR MULTIPLYING SCHUBERT CLASSES ⋮ Multiplicative rule in the Grothendieck cohomology of a flag variety ⋮ Shells of twisted flag varieties and the Rost invariant

Cites Work

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• SOME ENUMERATIVE FORMULAS FOR FLAG VARIETIES
• Applications of the Theory of Morse to Symmetric Spaces
• Smooth Curves of Constant width and Transnormality
• ALGORITHM FOR MULTIPLYING SCHUBERT CLASSES
• On Cycles in Flag Manifolds.
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Introduction to Lie Algebras and Representation Theory
• THE COHOMOLOGY RING OF G/T
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