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On 5-manifolds with free fundamental group and simple boundary links in S-5
Kreck, Matthias1; Su, Yang
2017
Source PublicationGEOMETRY & TOPOLOGY
ISSN1465-3060
Volume21Issue:5Pages:2989-3008
AbstractWe 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.
DOI10.2140/gt.2017.21.2989
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000409993300009
PublisherGEOMETRY & TOPOLOGY PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26413
Collection数学所
Corresponding AuthorKreck, Matthias
Affiliation1.Univ Bonn, Hausdorff Res Inst Math, D-53115 Bonn, Germany
2.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
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.
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