Cores of s-cobordisms of 4-manifolds
| dc.creator | Quinn, Frank | |
| dc.date | 2004-03-31 | |
| dc.date.accessioned | 2026-07-07T05:06:57Z | |
| dc.date.available | 2026-07-07T05:06:57Z | |
| dc.description | The main result is that an s-cobordism (topological or smooth) of 4-manifolds has a product structure outside a ``core'' sub s-cobordism. These cores are arranged to have quite a bit of structure, for example they are smooth and abstractly (forgetting boundary structure) diffeomorphic to a standard neighborhood of a 1-complex. The decomposition is highly nonunique so cannot be used to define an invariant, but it shows the topological s-cobordism question reduces to the core case. The simply-connected version of the decomposition (with 1-complex a point) is due to Curtis, Freedman, Hsiang and Stong. Controlled surgery is used to reduce topological triviality of core s-cobordisms to a question about controlled homotopy equivalence of 4-manifolds. There are speculations about further reductions. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403554 | |
| dc.identifier | http://arxiv.org/abs/math/0403554 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70670 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N13, 57N70, 57R80 | |
| dc.title | Cores of s-cobordisms of 4-manifolds | |
| dc.type | text |