English

Quantum Pieri rules for tautological subbundles

Algebraic Geometry 2013-08-21 v1 Combinatorics

Abstract

We give quantum Pieri rules for quantum cohomology of Grassmannians of classical types, expressing the quantum product of Chern classes of the tautological subbundles with general cohomology classes. We derive them by showing the relevant genus zero, three-pointed Gromov-Witten invariants coincide with certain classical intersection numbers.

Keywords

Cite

@article{arxiv.1308.4298,
  title  = {Quantum Pieri rules for tautological subbundles},
  author = {Naichung Conan Leung and Changzheng Li},
  journal= {arXiv preprint arXiv:1308.4298},
  year   = {2013}
}

Comments

28 pages. Accepted by Advances in Mathematics

R2 v1 2026-06-22T01:12:07.926Z