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Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ (2509.17857v1)
Published 22 Sep 2025 in math.AG
Abstract: We propose to study the quantum Schubert calculus for Schubert varieties, and investigate the smooth Schubert divisors X of the complete flag variety Fl_n. We provide a Borel-type ring presentation of the quantum cohomology of X. We derive the quantum Chevalley formula for X by geometric arguments. We also show that the quantum Schubert polynomials for X are the same as that for Fl_n introduced by Fomin, Gelfand and Postnikov.
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