Quantum cohomology of grassmannians

被引：51

作者：

Buch, AS ^{[1
]}

机构：

[1] Aarhus Univ, Inst Math, DK-8000 Aarhus C, Denmark

来源：

COMPOSITIO MATHEMATICA | 2003年 / 137卷 / 02期

基金：

美国国家科学基金会;

关键词：

quantum cohomology; Gromov-Witten invariants; Grassmann varieties;

D O I：

10.1023/A:1023908007545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give elementary proofs of the main theorems about the (small) quantum cohomology of Grassmannians, including the quantum Giambelli and quantum Pieri formulas, the rim-hook algorithm, the presentation, and a recent theorem of Fulton and Woodward about theminimal q-power which appears in a product of two Schubert classes.

引用

页码：227 / 235

页数：9

共 21 条

[1] Quantum multiplication of Schur polynomials [J].