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

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

2002-05-29

arxiv.org/abs/math/0205309v2

Mathematics

Combinatorics

Revised version of "Quantization map for G/B"

Scientific paper

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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