English

On the Conjecture $\mathcal{O}$ of GGI for $G/P$

Algebraic Geometry 2016-11-30 v5

Abstract

In this paper, we show that general homogeneous manifolds G/PG/P satisfy Conjecture O\mathcal{O} of Galkin, Golyshev and Iritani which `underlies' Gamma conjectures I and II of them. Our main tools are the quantum Chevalley formula for G/PG/P and a theory on nonnegative matrices including Perron-Frobenius theorem.

Keywords

Cite

@article{arxiv.1412.2475,
  title  = {On the Conjecture $\mathcal{O}$ of GGI for $G/P$},
  author = {Daewoong Cheong and Changzheng Li},
  journal= {arXiv preprint arXiv:1412.2475},
  year   = {2016}
}

Comments

16 pages; minor corrections; to appear in Advances in Math