English

Quantum K-theory of IG(2, 2n)

Algebraic Geometry 2024-02-20 v1

Abstract

We prove that the Schubert structure constants of the quantum K-theory rings of symplectic Grassmannians of lines have signs that alternate with codimension and vanish for degrees at least 3. We also give closed formulas that characterize the multiplicative structure of these rings, including the Seidel representation and a Chevalley formula.

Keywords

Cite

@article{arxiv.2402.12003,
  title  = {Quantum K-theory of IG(2, 2n)},
  author = {Vladimiro Benedetti and Nicolas Perrin and Weihong Xu},
  journal= {arXiv preprint arXiv:2402.12003},
  year   = {2024}
}
R2 v1 2026-06-28T14:52:56.272Z