Analysis of the Faddeev model
| dc.creator | Auckly, Dave | |
| dc.creator | Kapitanski, Lev | |
| dc.date | 2004-03-14 | |
| dc.date.accessioned | 2026-07-07T04:31:00Z | |
| dc.date.available | 2026-07-07T04:31:00Z | |
| dc.description | In this paper we consider a generalization of the Faddeev model for the maps from a closed three-manifold into the two-sphere. We give a novel representation of smooth $ S^2$-valued maps based on flat connections. This representation allows us to obtain an analytic description of the homotopy classes of $ S^2$-valued maps that generalizes to Sobolev maps. It also leads to a new proof an old theorem of Pontrjagin. For the generalized Faddeev model, we prove the existence of minimizers in every homotopy class. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0403025 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0403025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57669 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Geometric Topology | |
| dc.title | Analysis of the Faddeev model | |
| dc.type | text |