Towards generalized cohomology Schubert calculus via formal root polynomials

DOI10.4310/MRL.2017.v24.n3.a11zbMath1393.14048arXiv1408.5952OpenAlexW3098541523MaRDI QIDQ1707255

Kirill Zainoulline, Cristian Lenart

Publication date: 29 March 2018

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5952

zbMATH Keywords

Schubert calculusflag varietyequivariant oriented cohomologyhyperbolic formal group lawroot polynomial

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) 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) Equivariant (K)-theory (19L47)

Related Items (12)

Formal affine Demazure and Hecke algebras of Kac-Moody root systems ⋮ Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians ⋮ Asymmetric Function Theory ⋮ Stable Bases of the Springer Resolution and Representation Theory ⋮ PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY ⋮ Localized operations on \(T\)-equivariant oriented cohomology of projective homogeneous varieties ⋮ Cohomological Hall algebras and affine quantum groups ⋮ Universal Gysin formulas for the universal Hall-Littlewood functions ⋮ K-theoretic crystals for set-valued tableaux of rectangular shapes ⋮ K-theoretic crystals for set-valued tableaux of rectangular shapes ⋮ Push-pull operators on the formal affine Demazure algebra and its dual ⋮ WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS

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