Geometry & Topology
- Geom. Topol.
- Volume 21, Number 5 (2017), 2989-3008.
On $5$–manifolds with free fundamental group and simple boundary links in $S^5$
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.
Geom. Topol., Volume 21, Number 5 (2017), 2989-3008.
Received: 9 February 2016
Revised: 22 November 2016
Accepted: 8 January 2017
First available in Project Euclid: 16 November 2017
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Kreck, Matthias; Su, Yang. On $5$–manifolds with free fundamental group and simple boundary links in $S^5$. Geom. Topol. 21 (2017), no. 5, 2989--3008. doi:10.2140/gt.2017.21.2989. https://projecteuclid.org/euclid.gt/1510859279