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<p>We use Maya diagrams to refine the criterion by Fulton and Woodward for the smallest powers of the quantum parameter <i>q</i> that occur in a product of Schubert classes in the (small) quantum cohomology of partial flags. Our approach using Maya diagrams yields a combinatorial proof that the minimal quantum degrees are unique for partial flags. Furthermore, visual combinatorial rules are given to perform precise calculations.</p>

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Minimum Quantum Degrees with Maya Diagrams

  • 期刊论文

  • 发表日期：

    2025年3月6日

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  • Ryan M. Shifler

摘要

We use Maya diagrams to refine the criterion by Fulton and Woodward for the smallest powers of the quantum parameter q that occur in a product of Schubert classes in the (small) quantum cohomology of partial flags. Our approach using Maya diagrams yields a combinatorial proof that the minimal quantum degrees are unique for partial flags. Furthermore, visual combinatorial rules are given to perform precise calculations.