English

Quantum cohomology of Grassmannians

Algebraic Geometry 2007-05-23 v2

Abstract

We give elementary proofs of the main theorems about (small) quantum cohomology of Grassmannians, including the quantum Giambelli and quantum Pieri formulas, the rim-hook algorithm, Siebert and Tian's presentation, and a recent theorem of Fulton and Woodward about the minimal q-power which appears in a product of two Schubert classes.

Keywords

Cite

@article{arxiv.math/0106268,
  title  = {Quantum cohomology of Grassmannians},
  author = {Anders Skovsted Buch},
  journal= {arXiv preprint arXiv:math/0106268},
  year   = {2007}
}

Comments

8 pages