A New look at the vortex equations and dimensional reduction
| dc.creator | Bradlow, Steven | |
| dc.creator | Glazebrook, James | |
| dc.creator | Kamber, Franz | |
| dc.date | 1997-03-14 | |
| dc.date.accessioned | 2026-07-07T09:07:13Z | |
| dc.date.available | 2026-07-07T09:07:13Z | |
| dc.description | In order to use the technique of dimensional reduction, it is usually necessary for there to be a symmetry coming from a group action. In this paper we consider a situation in which there is no such symmetry, but in which a type of dimensional reduction is nevertheless possible. We obtain a relation between the Coupled Vortex equations on a closed Kahler manifold, $X$, and the Hermitian-Einstein equations on certain $P^1$-bundles over $X$. Our results thus generalize the dimensional reduction results of Garcia-Prada, which apply when the Hermitian-Einstein equations are on $X\times P^1$. | |
| dc.description | 23 pages, AMSTeX, to be published in the Proceedings of the First USA/Brazil Workshop on Geometry, Topology and Physics, held in Campinas, Brazil, June 1996 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9703019 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9703019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150291 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | A New look at the vortex equations and dimensional reduction | |
| dc.type | text |