On the quantum product of Schubert classes

Mathematics – Algebraic Geometry

Scientific paper

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Minor errors corrected. To appear in the Journal of Algebraic Geometry

Scientific paper

We give a formula for the smallest powers of the quantum parameters q that
occur in a product of Schubert classes in the (small) quantum cohomology of
general flag varieties G/P. We also include a complete proof of Peterson's
quantum version of Chevalley's formula, also for general G/P's.

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