Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds
| dc.creator | Bryan, Jim | |
| dc.date | 1997-04-22 | |
| dc.date.accessioned | 2026-07-07T09:13:04Z | |
| dc.date.available | 2026-07-07T09:13:04Z | |
| dc.description | Furuta's ``10/8-th's'' theorem gives a bound on the magnitude of the signature of a smooth spin 4-manifold in terms of the second Betti number. We show that in the presence of a Z/2^p action, his bound can be strengthened. As applications, we give new genus bounds on classes with divisibility and we give a classification of involutions on rational cohomology K3's. We utilize the action of a twisted product of Pin(2) and Z/2^p on the Seiberg-Witten moduli space. Our techniques also provide a simplification of the proof of Furuta's theorem. | |
| dc.description | Latex2e, 16 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9704010 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9704010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152235 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds | |
| dc.type | text |