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Quantum multiplication operators for Lagrangian and orthogonal Grassmannians (1704.00403v1)
Published 3 Apr 2017 in math.AG and math.CO
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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