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Homotopy of gauge groups over high-dimensional manifolds

文献类型：期刊论文

作者Huang, Ruizhi
刊名PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
出版日期2022-02-01
卷号152期号:1页码:182-208
关键词Gauge groups Homotopy suspensions Homotopy decompositions Homotopy exponents
ISSN号0308-2105
DOI10.1017/prm.2021.1
英文摘要The homotopy theory of gauge groups has received considerable attention in recent decades. In this work, we study the homotopy theory of gauge groups over some high-dimensional manifolds. To be more specific, we study gauge groups of bundles over (n - 1)-connected closed 2n-manifolds, the classification of which was determined by Wall and Freedman in the combinatorial category. We also investigate the gauge groups of the total manifolds of sphere bundles based on the classical work of James and Whitehead. Furthermore, other types of 2n-manifolds are also considered. In all the cases, we show various homotopy decompositions of gauge groups. The methods are combinations of manifold topology and various techniques in homotopy theory.
资助项目Postdoctoral International Exchange Program for Incoming Postdoctoral Students under Chinese Postdoctoral Council ; Chinese Postdoctoral Science Foundation[2018M631605] ; Chinese Postdoctoral Science Foundation[2019T120145] ; National Natural Science Foundation of China[11801544]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000757492400011
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60068]  
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 high-dimensional manifolds[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2022,152(1):182-208.
APA Huang, Ruizhi.(2022).Homotopy of gauge groups over high-dimensional manifolds.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,152(1),182-208.
MLA Huang, Ruizhi."Homotopy of gauge groups over high-dimensional manifolds".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 152.1(2022):182-208.

入库方式： OAI收割

来源：数学与系统科学研究院

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