Homotopy of gauge groups over non-simply-connected five-dimensional manifolds

doi:10.1007/s11425-019-9540-3

CSpace

	Homotopy of gauge groups over non-simply-connected five-dimensional manifolds
	Huang, Ruizhi
	2019-11-04
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	32
摘要	Both the gauge groups and 5-manifolds are important in physics and mathematics. In this paper, we combine them together to study the homotopy aspects of gauge groups over 5-manifolds. For principal bundles over non-simply connected oriented closed 5-manifolds of certain type, we prove various homotopy decompositions of their gauge groups according to different geometric structures on the manifolds, and give the partial solution to the classification of the gauge groups. As applications, we estimate the homotopy exponents of their gauge groups, and show periodicity results of the homotopy groups of gauge groups analogous to Bott periodicity. Our treatments here are also very effective for rational gauge groups in general context, and applicable for higher dimensional manifolds.
关键词	gauge group 5-manifolds homotopy decompositions homotopy exponents homotopy groups rational homotopy theory Bott periodicity
DOI	10.1007/s11425-019-9540-3
收录类别	SCI
语种	英语
资助项目	Postdoctoral International Exchange Program for Incoming Postdoctoral Students under Chinese Postdoctoral Council ; Chinese Postdoctoral Science Foundation[2018M631605] ; National Natural Science Foundation of China[11801544]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000494010700001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50637
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Ruizhi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Ruizhi. Homotopy of gauge groups over non-simply-connected five-dimensional manifolds[J]. SCIENCE CHINA-MATHEMATICS,2019:32.
APA	Huang, Ruizhi.(2019).Homotopy of gauge groups over non-simply-connected five-dimensional manifolds.SCIENCE CHINA-MATHEMATICS,32.
MLA	Huang, Ruizhi."Homotopy of gauge groups over non-simply-connected five-dimensional manifolds".SCIENCE CHINA-MATHEMATICS (2019):32.