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arxiv: math/0303245 · v1 · submitted 2003-03-19 · 🧮 math.AG · math.CO

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Quantum cohomology of partial flag manifolds

Anders Skovsted Buch
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classification 🧮 math.AG math.CO
keywords quantumcohomologyflagpartialelementaryformulasgeometricgiambelli
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We give elementary geometric proofs of the main theorems about the (small) quantum cohomology of partial flag varieties SL(n)/P, including the quantum Pieri and quantum Giambelli formulas and the presentation.

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  1. Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials

    hep-th 2026-01 unverdicted novelty 7.0

    Schubert line defects in 3d GLSMs for partial flag manifolds reproduce parabolic Whitney polynomials for Schubert classes in quantum K-theory and yield new parabolic quantum Grothendieck polynomials.