Non-smoothable four-manifolds with cyclic fundamental group
| dc.creator | Friedl, Stefan | |
| dc.creator | Hambleton, Ian | |
| dc.creator | Melvin, Paul | |
| dc.creator | Teichner, Peter | |
| dc.date | 2006-11-03 | |
| dc.date | 2007-03-10 | |
| dc.date.accessioned | 2026-07-07T07:50:58Z | |
| dc.date.available | 2026-07-07T07:50:58Z | |
| dc.description | In [HT], two of us constructed a closed oriented 4-dimensional manifold with fundamental group $\Z$ that does not split off $S^1\times S^3$. In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the same properties (and same intersection form on $H_2$). As a corollary, we obtain topologically slice knots that are not smoothly slice in any rational homology ball. | |
| dc.description | We strengthened the statement of Corollary 1.4 and deleted the remark right after Corollary 1.4 | |
| dc.identifier | https://arxiv.org/abs/math/0611077 | |
| dc.identifier | http://arxiv.org/abs/math/0611077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125352 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R10 (smoothing) | |
| dc.title | Non-smoothable four-manifolds with cyclic fundamental group | |
| dc.type | text |