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Degree bounds in quantum Schubert calculus
Author(s):
Alexander
Yong
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2649-2655.
MSC (1991):
Primary 14M15;
Secondary 05E05, 14N10
Posted:
January 8, 2003
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Abstract:
Fulton and Woodward have recently identified the smallest degree of  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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Additional Information:
Alexander
Yong
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
ayong@umich.edu
DOI:
10.1090/S0002-9939-03-06850-3
PII:
S 0002-9939(03)06850-3
Keywords:
Gromov-Witten invariants,
quantum cohomology,
Grassmannian,
Schubert calculus
Received by editor(s):
December 14, 2001
Received by editor(s) in revised form:
April 2, 2002
Posted:
January 8, 2003
Communicated by:
John R. Stembridge
Copyright of article:
Copyright
2003,
American Mathematical Society
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