Polynomial representatives of Schubert classes in $QH^*(G/B)$

We show how the quantum Chevalley formula for $G/B$, as stated by Peterson and proved rigorously by Fulton and Woodward, combined with ideas of Fomin, S.I. Gelfand, and Postnikov, leads to a formula which describes polynomial representatives of the Schubert cohomology classes in the canonical presentation of $QH^*(G/B)$ in terms of generators and relations. We generalize in this way results of \cite{FGP}.

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Published 1 January 2002