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arXiv · 1704.00403

Quantum multiplication operators for Lagrangian and orthogonal Grassmannians

Daewoong Cheong
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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 $\mathcal{O}$ of Galkin, Golyshev and Iritani holds for these manifolds.

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Daewoong Cheong. 2017-04-03. Quantum multiplication operators for Lagrangian and orthogonal Grassmannians. https://arxiv.org/abs/1704.00403

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