Perturbations of the metric in Seiberg-Witten equations
| dc.creator | Scala, Luca | |
| dc.date | 2009-02-26 | |
| dc.date.accessioned | 2026-07-07T12:47:12Z | |
| dc.date.available | 2026-07-07T12:47:12Z | |
| dc.description | Let $M$ a compact connected orientable 4-manifold. We study the space $Ξ$ of $Spin^c$-structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on $M$. In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all $Spin^c$-structures $Ξ$. We prove that, on a complex Kähler surface, for an hermitian metric $h$ sufficiently close to the original Kähler metric, the moduli space of Seiberg-Witten equations relative to the metric $h$ is smooth of the expected dimension. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0902.4690 | |
| dc.identifier | http://arxiv.org/abs/0902.4690 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221640 | |
| dc.subject | Differential Geometry | |
| dc.title | Perturbations of the metric in Seiberg-Witten equations | |
| dc.type | text |