On 5-manifolds with free fundamental group and simple boundary links in S-5

doi:10.2140/gt.2017.21.2989

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	On 5-manifolds with free fundamental group and simple boundary links in S-5
	Kreck, Matthias 1; Su, Yang
	2017
发表期刊	GEOMETRY & TOPOLOGY
ISSN	1465-3060
卷号	21 期号:5 页码:2989-3008
摘要	We classify compact oriented 5-manifolds with free fundamental group and pi(2) a torsion-free abelian group in terms of the second homotopy group considered as a pi(1)-module, the cup product on the second cohomology of the universal covering, and the second Stiefel-Whitney class of the universal covering. We apply this to the classification of simple boundary links of 3-spheres in S-5. Using this we give a complete algebraic picture of closed 5-manifolds with free fundamental group and trivial second homology group.
DOI	10.2140/gt.2017.21.2989
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000409993300009
出版者	GEOMETRY & TOPOLOGY PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26413
专题	数学所
通讯作者	Kreck, Matthias
作者单位	1.Univ Bonn, Hausdorff Res Inst Math, D-53115 Bonn, Germany 2.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Kreck, Matthias,Su, Yang. On 5-manifolds with free fundamental group and simple boundary links in S-5[J]. GEOMETRY & TOPOLOGY,2017,21(5):2989-3008.
APA	Kreck, Matthias,&Su, Yang.(2017).On 5-manifolds with free fundamental group and simple boundary links in S-5.GEOMETRY & TOPOLOGY,21(5),2989-3008.
MLA	Kreck, Matthias,et al."On 5-manifolds with free fundamental group and simple boundary links in S-5".GEOMETRY & TOPOLOGY 21.5(2017):2989-3008.