Equivariant Schubert calculus

DOI10.1007/s11512-009-0093-5zbMath1188.14033arXivmath/0703445OpenAlexW2099167888MaRDI QIDQ2380811

Taíse Santiago, Letterio Gatto

Publication date: 12 April 2010

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703445

zbMATH Keywords

equivariant integral cohomologyequivariant Pieri formula, exterior algebraequivariant Schubert calculus

Mathematics Subject Classification ID

Classical problems, Schubert calculus (14N15)

Related Items (6)

Equivariant Pieri rules for isotropic Grassmannians ⋮ Universal factorization algebras of polynomials represent Lie algebras of endomorphisms ⋮ On equivariant quantum Schubert calculus for \(G/P\) ⋮ Polynomial ring representations of endomorphisms of exterior powers ⋮ On the vertex operator representation of Lie algebras of matrices ⋮ Bosonic and fermionic representations of endomorphisms of exterior algebras

Cites Work

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• Equivariant Giambelli and determinantal restriction formulas for the Grassmannian
• Newton binomial formulas in Schubert calculus
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• Equivariant cohomology, Koszul duality, and the localization theorem
• Puzzles and (equivariant) cohomology of Grassmannians
• Schubert calculus and equivariant cohomology of Grassmannians
• Schubert calculus via Hasse-Schmidt derivations
• Equivariant quantum Schubert calculus
• Schubert calculus on Grassmannians and exterior powers
• A determinantal formula for the exterior powers of the polynomial ring
• Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

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