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Degree bounds in quantum Schubert calculus
Authors:Alexander Yong
Institution:Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
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.

Keywords:Gromov-Witten invariants  quantum cohomology  Grassmannian  Schubert calculus
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