Polynomial representatives for the Schubert classes in the equivariant quantum cohomology of the Grassmannian

Polynomial representatives for the Schubert classes in the equivariant quantum cohomology of the Grassmannian
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格拉斯曼方程等变量子上同调中舒伯特类的多项式代表

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发表时间:
2005
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通讯作者:
L. Mihalcea
L. Mihalcea
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作者:
L. Mihalcea

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我们发现介绍发电机和关系的等变量子上同调的格拉斯曼。对于这些介绍,我们也发现行列式公式的等变量子舒伯特类。为了证明这一点,我们使用的阶乘舒尔函数的理论和表征的等变量子上同调环。
We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the equivariant quantum Schubert classes. To prove this, we use the theory of factorial Schur functions and a characterization of the equivariant quantum cohomology ring.