Unstable K1-group and homotopy type of certain gauge groups

被引：40

作者：

Hamanaka, H ^{[1
]}

Kono, A

机构：

[1] Hyogo Univ Teachers Educ, Dept Nat Sci, Yashiro, Hyogo 6731494, Japan

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

关键词：

D O I：

10.1017/S0308210500004480

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We denote the group of homotopy set [X, U(n)] by the unstable W-group of X. In this paper, using the unstable K-1-group of the multi-suspended C P-2, we give a necessary condition for two principal SU(n)-bundles over 4 to have the associated gauge group of the same homotopy type, which is an improvement of the result of Sutherland and, particularly, show the complete classification of homotopy types of SU(3)-gauge groups over S-4.

引用

页码：149 / 155

页数：7

共 9 条

[1] THE YANG-MILLS EQUATIONS OVER RIEMANN SURFACES [J].