Torsion in classifying spaces of gauge groups

被引：0

作者：

Kameko, Masaki ^{[1
]}

机构：

[1] Shibaura Inst Technol, Dept Math Sci, 307 Minuma Ku Fukasaku, Saitama 3378570, Japan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年

关键词：

classifying space; torsion; cohomology; gauge group; COHOMOLOGY;

D O I：

10.1017/prm.2024.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine when the integral homology of the classifying space of a $PU(n)$-gauge group over the sphere $S<^>2$ has torsion.

引用

收藏

页数：16

相关论文

共 5 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] APPLICATIONS OF BUNDLE MAP THEORY
GOTTLIEB, DH
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 171 (SEP) : 23 - 50
[3] Minowa Y, 2023, Arxiv, DOI arXiv:2304.08702
[4] COHOMOLOGY OF THE CLASSIFYING SPACES OF U(n)-GAUGE GROUPS OVER THE 2-SPHERE
Takeda, Masahiro
[J]. HOMOLOGY HOMOTOPY AND APPLICATIONS, 2021, 23 (01) : 17 - 24
[5] On the cohomology of the classifying space of a certain gauge group
Tsukuda, S
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 : 407 - 409