Quantum multiplication operators for Lagrangian and orthogonal Grassmannians
Algebraic Geometry
2017-04-04 v1 Combinatorics
Abstract
In this article, we make a close analysis on quantum multiplication operators on the quantum cohomology rings of Lagrangian and orthogonal Grassmannians, and give an explicit description on all simultaneous eigenvectors and the corresponding eigenvalues for these operators. As a result, we show that Conjecture of Galkin, Golyshev and Iritani holds for these manifolds.
Cite
@article{arxiv.1704.00403,
title = {Quantum multiplication operators for Lagrangian and orthogonal Grassmannians},
author = {Daewoong Cheong},
journal= {arXiv preprint arXiv:1704.00403},
year = {2017}
}
Comments
To appear in Journal of Algebraic Combinatorics