Quantum Giambelli formulas for isotropic Grassmannians

被引：13

作者：

Buch, Anders Skovsted ^{[2
]}

Kresch, Andrew ^{[1
]}

Tamvakis, Harry ^{[3
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

MATHEMATISCHE ANNALEN | 2012年 / 354卷 / 03期

基金：

瑞士国家科学基金会; 美国国家科学基金会;

关键词：

COHOMOLOGY;

D O I：

10.1007/s00208-011-0752-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 authors' cohomological Giambelli formulas.

引用

页码：801 / 812

页数：12

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