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Minimum quantum degrees with Maya diagrams

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arxiv 2201.03124 v4 pith:EX24RD5Q submitted 2022-01-10 math.AG

classification math.AG
keywords quantumdiagramsmayacombinatorialdegreesflagspartialapproach
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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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