Positivity in equivariant quantum Schubert calculus

DOI10.1353/ajm.2006.0026zbMath1099.14047arXivmath/0407239OpenAlexW2124982478MaRDI QIDQ5480190

Leonardo C. Mihalcea

Publication date: 26 July 2006

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407239

zbMATH Keywords

Schubert calculusquantum cohomologyLittlewood-Richardson coefficients

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) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Classical problems, Schubert calculus (14N15)

Related Items (18)

Equivariant quantum cohomology of the odd symplectic Grassmannian ⋮ Positivity and Kleiman transversality in equivariant \(K\)-theory of homogeneous spaces ⋮ Quantum cohomology of \(G/P\) and homology of affine Grassmannian ⋮ Quantum \(K\)-theory of incidence varieties ⋮ Quantum \(K\)-theory of Grassmannians ⋮ Schubert calculus and quiver varieties ⋮ Gale duality and Koszul duality ⋮ Equivariant quantum Schubert polynomials ⋮ Gromov-Witten invariants for $G/B$ and Pontryagin product for $ΩK$ ⋮ On equivariant quantum cohomology of homogeneous spaces: Chevalley formulae and algorithms ⋮ On equivariant quantum Schubert calculus for \(G/P\) ⋮ Positivity determines the quantum cohomology of Grassmannians ⋮ Quantum integrability and generalised quantum Schubert calculus ⋮ Equivariant Pieri rule for the homology of the affine Grassmannian ⋮ Equivariant quantum Schubert calculus ⋮ Giambelli formulae for the equivariant quantum cohomology of the Grassmannian ⋮ Back stable Schubert calculus ⋮ Mutations of puzzles and equivariant cohomology of two-step flag varieties

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