Quantum Giambelli formulas for isotropic Grassmannians
Algebraic Geometry
2008-12-05 v1
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.
Cite
@article{arxiv.0812.0970,
title = {Quantum Giambelli formulas for isotropic Grassmannians},
author = {Anders S. Buch and Andrew Kresch and Harry Tamvakis},
journal= {arXiv preprint arXiv:0812.0970},
year = {2008}
}
Comments
11 pages