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arxiv: 0812.0970 · v1 · submitted 2008-12-04 · 🧮 math.AG

Quantum Giambelli formulas for isotropic Grassmannians

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keywords formulasgiambelliquantumisotropicschubertarbitraryarxivcertain
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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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