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

Augustin-Liviu Mare
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Abstract

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. 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.

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Augustin-Liviu Mare. 2002-08-02. Polynomial representatives of Schubert classes in QH^*(G/B). https://arxiv.org/abs/math/0205309

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