The homotopy types of G2-gauge groups

被引：14

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.

引用

页码：92 / 107

页数：16

共 14 条

[1] THE YANG-MILLS EQUATIONS OVER RIEMANN SURFACES
ATIYAH, MF
BOTT, R
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 308 (1505): : 523 - 615
[2] Bott R., 1960, COMMENT MATH HELV, V34, P249
[3] COHEN FR, 1984, LECT NOTES MATH, V1051, P351
[4] Counting homotopy types of gauge groups
Crabb, MC
Sutherland, WA
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 81 : 747 - 768
[5] Unstable K1-group and homotopy type of certain gauge groups
Hamanaka, H
Kono, A
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 149 - 155
[6] On Samelson products in p-localized unitary groups
Hamanaka, Hiroaki
[J]. TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (03) : 573 - 583
[7] Samelson products of SO(3) and applications
Kamiyama, Yasuhiko
Kishimoto, Daisuke
Kono, Akira
Tsukuda, Shuichi
[J]. GLASGOW MATHEMATICAL JOURNAL, 2007, 49 : 405 - 409
[8] A NOTE ON THE HOMOTOPY TYPE OF CERTAIN GAUGE GROUPS
KONO, A
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1991, 117 : 295 - 297
[9] Commutativity of the group of self-homotopy classes of Lie groups
Kono, A
Oshima, H
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 37 - 52
[10] EVALUATION MAP AND EHP SEQUENCES
LANG, GE
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1973, 44 (01) : 201 - 210

← 1 2 →