The equivariant cohomology of weighted flag orbifolds

被引：0
|
作者：
Azam, Haniya [1 ]
Nazir, Shaheen [1 ]
Qureshi, Muhammad Imran [1 ,2 ]
机构：
[1] LUMS, SBASSE, Dept Math, Lahore, Pakistan
[2] Univ Tubingen, Math Inst, Tubingen, Germany
来源：
MATHEMATISCHE ZEITSCHRIFT | 2020年 / 294卷 / 3-4期
关键词：
Weighted flag varieties; Equivariant cohomology; Schubert classes; Double Schubert polynomials; CONSTRUCTING PROJECTIVE VARIETIES; RING;
D O I：
10.1007/s00209-019-02285-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the torus-equivariant cohomology of weighted partial flag orbifolds w Sigma of type A. We establish counterparts of several results known for the partial flag variety that collectively constitute what we refer to as "Schubert Calculus on w Sigma ". For the weighed Schubert classes in w Sigma, we give the Chevalley's formula. In addition, we define the weighted analogue of double Schubert polynomials and give the corresponding Chevalley-Monk's formula.
引用
收藏
页码：881 / 900
页数：20
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