Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization
| dc.creator | Auckly, D. | |
| dc.date | 2000-09-29 | |
| dc.date.accessioned | 2026-07-07T04:37:44Z | |
| dc.date.available | 2026-07-07T04:37:44Z | |
| dc.description | In this paper, we will introduce a cut and paste move, called a geometrically null log transform, and prove that any two manifolds related by a sequence of these moves become diffeomorphic afte r one stabilization. To motivate the cut and paste move, we will use the symplec tic fiber sum, and a construction of Fintushel and Stern to construct several large families of 4-manifolds. We will then proceed to prove that the members of any one of these families become diffeomorphic after one stabilization. Finally, we will compute the Seiberg-Witten invariants of each member of each of the families. | |
| dc.description | 23 pages, 30 figures | |
| dc.identifier | https://arxiv.org/abs/math/0009248 | |
| dc.identifier | http://arxiv.org/abs/math/0009248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60013 | |
| dc.subject | Geometric Topology | |
| dc.title | Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization | |
| dc.type | text |