Double Grothendieck polynomials for symplectic and odd orthogonal Grassmannians

DOI10.1016/j.jalgebra.2019.11.002zbMath1430.05130arXiv1809.07932OpenAlexW2989624647WikidataQ126794642 ScholiaQ126794642MaRDI QIDQ2285289

Thomas Hudson, Tomoo Matsumura, Hiroshi Naruse, Takeshi Ikeda

Publication date: 8 January 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07932

zbMATH Keywords

Pfaffianequivariant \(K\)-theoryisotropic GrassmanniansSchubert class

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Equivariant (K)-theory (19L47) Combinatorial aspects of algebraic geometry (05E14)

Related Items (3)

Expanding \(K\) theoric Schur \(Q\)-functions ⋮ Euler characteristics of Brill-Noether loci on Prym varieties ⋮ Tableau formulas for skew Grothendieck polynomials

Cites Work

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• A Giambelli formula for isotropic Grassmannians
• Double Schubert polynomials for the classical groups
• Equivariant cobordism for torus actions
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• Equivariant cohomology, Koszul duality, and the localization theorem
• Pfaffian sum formula for the symplectic Grassmannians
• Construction of double Grothendieck polynomials of classical types using idcoxeter algebras
• Degeneracy loci classes in \(K\)-theory -- determinantal and Pfaffian formula
• \(K\)-theoretic Chern class formulas for vexillary degeneracy loci
• Connective AlgebraicK-theory
• Schubert Polynomials for the Classical Groups
• Double theta polynomials and equivariant Giambelli formulas
• Giambelli, Pieri, and tableau formulas via raising operators

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