The homotopy types of SU(n)-gauge groups over S6

被引：5

作者：

Mohammadi, Sajjad ^{[1
]}

Asadi-Golmankhaneh, Mohammad Ali ^{[2
]}

机构：

[1] Urmia Univ, Coll Sci, Dept Math, POB 5756151818, Orumiyeh, Iran

[2] Urmia Univ, Dept Math, POB 165, Orumiyeh, Iran

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 270卷

关键词：

Gauge group; Homotopy type; Lie group; Homotopy equivalence; SAMELSON PRODUCTS;

D O I：

10.1016/j.topol.2019.106952

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let n >= 3, denote by P-n,P-k the principal SU(n)-bundles over S-6 with Chern class c(3)(P-n,P-k) = 2k and G(k) be the gauge group of P-n,P-k classified by k epsilon', where epsilon' is a generator of pi(6)(B(SU(n)) congruent to Z. In this article we show that if there is a homotopy equivalence G(k) similar or equal to G(k), then ((n - 1)n(n + 1)(n + 2), k) = ((n - 1)n(n + 1)(n+ 2), k'). (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：8

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