A formalism for equivariant Schubert calculus

被引：5
|
作者：
Laksov, Dan [1 ]
机构：
[1] KTH, Dept Math, S-10044 Stockholm, Sweden
来源：
ALGEBRA & NUMBER THEORY | 2009年 / 3卷 / 06期
关键词：
equivariqant cohomology; Schubert calculus; quantum cohomology; symmetric polynomials; exterior products; Pieri's formula; Giambelli's formula; GKM condition; factorial Schur functions; grassmannians; KAC-MOODY GROUP; COHOMOLOGY; GRASSMANNIANS; GIAMBELLI; FORMULAS; RING;
D O I：
10.2140/ant.2009.3.711
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In previous work we have developed a general formalism for Schubert calculus. Here we show how this theory can be adapted to give a formalism for equivariant Schubert calculus consisting of a basis theorem, a Pieri formula and a Giambelli formula. Our theory specializes to a formalism for equivariant cohomology of grassmannians. We interpret the results in a ring that can be considered as the formal generalized analog of localized equivariant cohomology of infinite grassmannians.
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页码：711 / 727
页数：17
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