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arXiv · 2509.17857

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$

Changzheng Li·Jiayu Song·Rui Xiong·Mingzhi Yang
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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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Changzheng Li, Jiayu Song, Rui Xiong, Mingzhi Yang. 2025-09-22. Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$. https://arxiv.org/abs/2509.17857

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