Equivariant Pieri rule for the homology of the affine Grassmannian

DOI10.1007/s10801-012-0353-5zbMath1267.14071arXiv1105.5154OpenAlexW2165850333MaRDI QIDQ1762448

Mark Shimozono, Thomas Lam

Publication date: 26 November 2012

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5154

zbMATH Keywords

Schubert calculusquantum cohomologyaffine GrassmannianPieri rule

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items

Equivariant Pieri rules for isotropic Grassmannians, An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes, \(k\)-double Schur functions and equivariant (co)homology of the affine Grassmannian, On equivariant quantum Schubert calculus for \(G/P\), Back stable Schubert calculus

Cites Work

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• \(k\)-double Schur functions and equivariant (co)homology of the affine Grassmannian
• Positivity in equivariant quantum Schubert calculus