Homotopy of gauge groups over non-simply-connected five-dimensional manifolds
文献类型：期刊论文
| 作者 | Huang, Ruizhi |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2019-11-04 |
| 页码 | 32 |
| 关键词 | gauge group 5-manifolds homotopy decompositions homotopy exponents homotopy groups rational homotopy theory Bott periodicity |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-019-9540-3 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000494010700001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50636]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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