摘要翻译:
设X是一个辛的或奇的正交Grassmanian,它将具有非退化(斜)对称形式的向量空间中的各向同性子空间参数化。证明了将X的小量子上同调环中任意Schubert类表示为某些特殊Schubert类中的多项式的量子Giambelli公式,推广了ArXIV:0811.2781的上同调Giambelli公式。
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英文标题:
《Quantum Giambelli formulas for isotropic Grassmannians》
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作者:
Anders S. Buch, Andrew Kresch, and Harry Tamvakis
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/0812.0970