Schubert calculus for algebraic cobordism

DOI10.1515/CRELLE.2011.043zbMath1226.14032arXiv0903.3936OpenAlexW2962920465MaRDI QIDQ5198591

Jens Hornbostel, Valentina Kiritchenko

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3936

zbMATH Keywords

algebraic cobordismdivided differencesBott-Samelson resolutionsLazard ring

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) (Equivariant) Chow groups and rings; motives (14C15) Classical problems, Schubert calculus (14N15)

Related Items

Equivariant cobordism of flag varieties and of symmetric varieties ⋮ On the structure of algebraic cobordism ⋮ Formal affine Demazure and Hecke algebras of Kac-Moody root systems ⋮ BPS states meet generalized cohomology ⋮ Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians ⋮ Stability of Bott–Samelson Classes in Algebraic Cobordism ⋮ On the \(K\)-theoretic fundamental class of Deligne-Lusztig varieties ⋮ Equivariant cobordism for torus actions ⋮ Universal Gysin formulas for the universal Hall-Littlewood functions ⋮ Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism ⋮ \(K\)-theory formulas for orthogonal and symplectic orbit closures

Cites Work

• Algebraic cobordism revisited
• Symmetric operations in algebraic cobordism
• Invariants symétriques entiers des groupes de Weyl et torsion
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Comparison of cobordism theories
• Schubert Calculus in Complex Cobordism
• Torsion algebraic cycles and complex cobordism
• The Schubert Calculus, Braid Relations, and Generalized Cohomology
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Algebraic cobordisms of a Pfister quadric
• Mishchenko and Quillen formulas for oriented cohomology pretheories
• On the formal group laws of unoriented and complex cobordism theory
• Algebraic cobordism of simply connected Lie groups