Loop groups and holomorphic bundles
| dc.creator | Hurtubise, Jacques C. | |
| dc.creator | Murray, Michael K. | |
| dc.date | 2008-12-18 | |
| dc.date.accessioned | 2026-07-07T12:20:49Z | |
| dc.date.available | 2026-07-07T12:20:49Z | |
| dc.description | This paper considers the links between the geometry of the various flag manifolds of loop groups and bundles over families of rational curves. Aa an application, a stability result for the moduli on a rational ruled surface of G-bundles with additional flag structure along a line is proven for any reductive group; this gives the corresponding stability statement for any compact group K for the moduli of K-instantons over the four-sphere, and for the moduli of K-calorons over the three-sphere times the circle. The paper also considers the Hecke transforms on bundles induced by outer automorphisms of the loop groups. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/0812.3684 | |
| dc.identifier | http://arxiv.org/abs/0812.3684 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213175 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 14D21 (Primary); 22E67, 57N99 (Secondary) | |
| dc.title | Loop groups and holomorphic bundles | |
| dc.type | text |