On fibering and splitting of 5-manifolds over the circle
| dc.creator | Khan, Qayum | |
| dc.date | 2007-12-10 | |
| dc.date | 2008-06-04 | |
| dc.date.accessioned | 2026-07-07T10:19:55Z | |
| dc.date.available | 2026-07-07T10:19:55Z | |
| dc.description | Our main result is a generalization of Cappell's 5-dimensional splitting theorem. As an application, we analyze, up to internal s-cobordism, the smoothable splitting and fibering problems for certain 5-manifolds mapping to the circle. For example, these maps may have homotopy fibers which are in the class of finite connected sums of certain geometric 4-manifolds. Most of these homotopy fibers have non-vanishing second mod 2 homology and have fundamental groups of exponential growth, which are not known to be tractable by Freedman--Quinn topological surgery. Indeed, our key technique is topological cobordism, which may not be the trace of surgeries. | |
| dc.description | 22 pages, exposition revised for better self-containment | |
| dc.identifier | https://arxiv.org/abs/0712.1583 | |
| dc.identifier | http://arxiv.org/abs/0712.1583 | |
| dc.identifier | Topology and its Applications, Volume 156, Number 2 (2008), 284--299 | |
| dc.identifier | doi:10.1016/j.topol.2008.07.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174687 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.title | On fibering and splitting of 5-manifolds over the circle | |
| dc.type | text |