Homotopy type of gauge groups of SU(3)-bundles over S6

被引：21

作者：

Hamanaka, Hiroaki

Kono, Akira ^{[1
]}

机构：

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

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

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 07期

关键词：

homotopy; gauge group;

D O I：

10.1016/j.topol.2005.04.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P-k be the principal SU(3)-bundle over S-6 with its Chern class c(3) (P-k) = 2k. The purpose of this paper is to show when two gauge groups G(P-k) and G(P-k') have the same homotopy type. Namely, G(P-k) similar or equal to G(P-k'), if and only if (120, k) = (120, k'), where (a, b) denote the G.C.D. of a and b. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：1377 / 1380

页数：4

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