Degree Bounds in Quantum Schubert Calculus

Mathematics – Combinatorics

Scientific paper

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9 pages, 4 figures

Scientific paper

Fulton and Woodward have recently identified the smallest degree of $q$ that
appears in the expansion of the product of two Schubert classes in the (small)
quantum cohomology ring of a Grassmannian. We present a combinatorial proof of
this result, and provide an alternative characterization of this smallest
degree in terms of the rim hook formula for the quantum product.

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