English

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

Combinatorics 2007-05-23 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0205309,
  title  = {Polynomial representatives of Schubert classes in QH^*(G/B)},
  author = {Augustin-Liviu Mare},
  journal= {arXiv preprint arXiv:math/0205309},
  year   = {2007}
}

Comments

Revised version of "Quantization map for G/B"

R2 v1 2026-07-22T16:45:42.567Z