Degree bounds in quantum Schubert calculus

Yong, Alexander

doi:10.1090/S0002-9939-03-06850-3

Degree bounds in quantum Schubert calculus
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Proc. Amer. Math. Soc. 131 (2003), 2649-2655 Request permission

Abstract:

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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