2017/04/02 by Daewoong Cheong, Cheong, Daewoong
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.AG #math.CO #msc:05E15 #msc:14J33 #msc:14N35 #msc:47N50
paper · pdf · doi:10.48550/arxiv.1704.00403
To appear in Journal of Algebraic Combinatorics
arxiv created 2017/04/03 · arxiv updated 2017/04/04
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 O of Galkin, Golyshev and Iritani holds for these manifolds.