Embedded spheres and 4-manifolds with spin coverings
| dc.creator | Bohr, Christian | |
| dc.date | 2001-10-27 | |
| dc.date.accessioned | 2026-07-07T04:44:07Z | |
| dc.date.available | 2026-07-07T04:44:07Z | |
| dc.description | A strategy for constructing an embedded sphere in a 4-manifold realizing a given homology class which has been successfully applied in the past is to represent the class as a first step stably by an embedded sphere, i.e. after adding products of 2-spheres, and to move that sphere back into the original manifold. In this paper, we study under what conditions the first step of this approach can be carried out if the 4-manifold at hand is not simply connected. One of our main results is that there are - apart from the well known Arf invariant - additional bordism theoretical obstructions to stably representing homology classes by embedded spheres. | |
| dc.identifier | https://arxiv.org/abs/math/0110301 | |
| dc.identifier | http://arxiv.org/abs/math/0110301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62509 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99; 55N22 | |
| dc.title | Embedded spheres and 4-manifolds with spin coverings | |
| dc.type | text |