Unstable K1-group and homotopy type of certain gauge groups
Unstable K1-group and homotopy type of certain gauge groups
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DOI：
10.1017/s0308210500004480
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发表时间：
2006-02
期刊：
影响因子：
--
通讯作者：
Hiroaki Hamanaka;A. Kono
中科院分区：
文献类型：
--
作者：
Hiroaki Hamanaka;A. Kono
我们用X的不稳定K1-群来表示同伦集[X，U（n）]的群。本文利用多重悬置CP 2的不稳定K1群，给出了§4上的两个主SU（n）-丛有同伦型的相应规范群的一个必要条件，改进了Sutherland的结果，特别是给出了S4上SU（3）-规范群同伦型的完全分类.
We denote the group of homotopy set [X, U(n)] by the unstable K1-group of X. In this paper, using the unstable K1-group of the multi-suspended CP2, 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 S4.