Stability of Bott–Samelson Classes in Algebraic Cobordism
DOI10.1007/978-981-15-7451-1_11zbMath1451.14070arXiv1907.06024OpenAlexW3168140759MaRDI QIDQ5132481
Nicolas Perrin, Thomas Hudson, Tomoo Matsumura
Publication date: 12 November 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06024
Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) 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) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)
Cites Work
- Unnamed Item
- Equivariant oriented cohomology of flag varieties
- Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians
- Vexillary degeneracy loci classes in \(K\)-theory and algebraic cobordism
- Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism
- Equivariant cobordism of flag varieties and of symmetric varieties
- Invariants, torsion indices and oriented cohomology of complete flags
- A Thom-Porteous formula for connective K-theory using algebraic cobordism
- Sur les groupes de Lie formels à un paramètre
- Algebraic Cobordism
- Schubert Calculus in Complex Cobordism
- Désingularisation des variétés de Schubert généralisées
- Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur $P$- and $Q$-functions
- Kempf-Laksov Schubert classes for even infinitesimal cohomology theories
- Universal Gysin formulas for the universal Hall-Littlewood functions
- The Schubert Calculus, Braid Relations, and Generalized Cohomology
- Schubert calculus for algebraic cobordism
