Integral equivariant cohomology of affine Grassmannians

DOI10.4153/s0008439524000122zbMATH Open1548.05322MaRDI QIDQ6618690

David C. Anderson

Publication date: 15 October 2024

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

symmetric functionequivariant cohomologyaffine Grassmannian

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Loop groups and related constructions, group-theoretic treatment (22E67) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Cites Work

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• The space of loops on a Lie group
• Comultiplication rules for the double Schur functions and Cauchy identities
• \(k\)-double Schur functions and equivariant (co)homology of the affine Grassmannian
• Integral homology of loop groups via Langlands dual groups
• Goresky–MacPherson Calculus for the Affine Flag Varieties
• An introduction to affine Grassmannians and the geometric Satake equivalence
• Back stable Schubert calculus
• The intersection theory of the moduli stack of vector bundles on
• Equivariant Cohomology in Algebraic Geometry

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