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On
$5$–manifolds with free fundamental group and simple boundary
links in $S^5$
Matthias Kreck and Yang Su |
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Geometry & Topology 21 (2017) 2989–3008
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Abstract |
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We classify compact oriented –manifolds with free fundamental group and a torsion-free abelian group in terms of the second homotopy group considered as a –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 –spheres in . Using this we give a complete algebraic picture of closed –manifolds with free fundamental group and trivial second homology group. |
Keywords
fundamental group, normal bordism, simple boundary link
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Mathematical Subject Classification 2010
Primary: 57R65
Secondary: 57R40
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References |
Publication
Received: 9 February 2016
Revised: 22 November 2016
Accepted: 8 January 2017
Published: 15 August 2017
Proposed: András I. Stipsicz
Seconded: Peter Teichner, Rob Kirby
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Authors |
| Matthias Kreck | |
| Hausdorff Research Institute for
Mathematics Universität Bonn D-53115 Bonn Germany |
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| Yang Su | |
| Institute of Mathematics Chinese Academy of Sciences Bejing, 100190 China |
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