Journal of Algebraic Geometry

Author(s): W. Fulton; C. Woodward
Journal: J. Algebraic Geom. 13 (2004), 641-661.
Posted: February 16, 2004
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Abstract: We give a formula for the smallest powers of the quantum parameters

that occur in a product of Schubert classes in the (small) quantum cohomology of general flag varieties

. We also include a complete proof of Peterson's quantum version of Chevalley's formula, also for general

's.

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W. Fulton
Affiliation: Department of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, Michigan 48109-1109
Email: wfulton@math.lsa.umich.edu

C. Woodward
Affiliation: Mathematics-Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
Email: ctw@math.rutgers.edu

PII: S 1056-3911(04)00365-0
Received by editor(s): April 8, 2002
Posted: February 16, 2004
Additional Notes: The first author was partially supported by NSF grant DMS9970435. The second author was partially supported by NSF grant DMS9971357.

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