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Quantum Giambelli formulas for isotropic Grassmannians

2008/12/04 by Buch, Anders S., Kresch, Andrew, Tamvakis, Harry
#05E15 #14M15 #14N15 #14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0812.0970

Abstract

Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vector space equipped with a nondegenerate (skew) symmetric form. We prove quantum Giambelli formulas which express an arbitrary Schubert class in the small quantum cohomology ring of X as a polynomial in certain special Schubert classes, extending the cohomological Giambelli formulas of arXiv:0811.2781.

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