Mathematics – Combinatorics
Scientific paper
2001-12-13
Proceedings of the AMS, Volume 131, Number 9, 2649-2655 (2003)
Mathematics
Combinatorics
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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