A closed form for unitons
| dc.creator | Anand, Christopher Kumar | |
| dc.date | 1995-12-19 | |
| dc.date.accessioned | 2026-07-07T09:12:40Z | |
| dc.date.available | 2026-07-07T09:12:40Z | |
| dc.description | Unitons, i.e.\ harmonic spheres in a unitary group, correspond to \lq uniton bundles\rq, i.e.\ holomorphic bundles over the compactified tangent space to the complex line with certain triviality and other properties. In this paper, we use a monad representation similar to Donaldson's representation of instanton bundles to obtain a simple formula for the unitons. Using the monads, we show that real triviality for uniton bundles is automatic. We interpret the uniton number as the `length' of a jumping line of the bundle, and identify the uniton bundles which correspond to based maps into Grassmannians. We also show that energy-$3$ unitons are $1$-unitons, and give some examples. | |
| dc.description | 27 pages, amstex2.1 with ps figures using epsf macros | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9512009 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9512009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152099 | |
| dc.subject | Differential Geometry | |
| dc.title | A closed form for unitons | |
| dc.type | text |