Quantum Giambelli formulas for isotropic Grassmannians

Details Quantum Giambelli formulas for isotropic Grassmannians Quantum Giambelli formulas for isotropic Grassmannians

2008-12-04

arxiv.org/abs/0812.0970v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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