The homotopy types of G2-gauge groups

被引：15

作者：

Kishimoto, Daisuke ^{[1
]}

Theriault, Stephen ^{[2
]}

Tsutaya, Mitsunobu ^{[3
]}

机构：

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

[2] Univ Southampton, Math Sci, Southampton SO17 1BJ, Hants, England

[3] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 228卷

关键词：

Gauge group; Lie group; Homotopy type; SAMELSON PRODUCTS; GAUGE GROUPS; COMMUTATIVITY;

D O I：

10.1016/j.topol.2017.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The equivalence class of a principal G(2)-bundle over S-4 is classified by the value k is an element of Z of the second Chern class. In this paper we consider the homotopy types of the corresponding gauge groups g(k), and determine the number of homotopy types up to one factor of 2. (C) 2017 Elsevier B.V. All rights reserved.

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收藏

页码：92 / 107

页数：16

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