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

页码：881 / 900

页数：20

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