English

On the quantum product of Schubert classes

Algebraic Geometry 2016-09-07 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0112183,
  title  = {On the quantum product of Schubert classes},
  author = {W. Fulton and C. Woodward},
  journal= {arXiv preprint arXiv:math/0112183},
  year   = {2016}
}

Comments

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

R2 v1 2026-07-22T16:42:13.397Z