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arXiv · 2201.03124

Minimum quantum degrees with Maya diagrams

Ryan M. Shifler
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Abstract

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.

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Ryan M. Shifler. 2022-01-10. Minimum quantum degrees with Maya diagrams. https://arxiv.org/abs/2201.03124

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