The homotopy types of SO(4)-gauge groups

被引：0

作者：

Kishimoto, Daisuke ^{[1
]}

Membrillo-Solis, Ingrid ^{[2
]}

Theriault, Stephen ^{[2
]}

机构：

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

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

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 7卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

SO(4); Gauge group; Homotopy type;

D O I：

10.1007/s40879-021-00453-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The homotopy types of gauge groups of principal SO(4)-bundles over S-4 are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the form (S-3)(n)/Z where Z is a subgroup generated by (-1, ... ,-1).

引用

收藏

页码：1245 / 1252

页数：8

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