On framed instanton bundles and their deformations
| dc.creator | Matuschke, Andreas | |
| dc.date | 1996-11-01 | |
| dc.date.accessioned | 2026-07-07T09:07:02Z | |
| dc.date.available | 2026-07-07T09:07:02Z | |
| dc.description | We consider a compact twistor space P and assume that there is a surface S in P, which has degree one on twistor fibres and contains a twistor fibre F, e.g. P a LeBrun twistor space. Similar to Donaldson and Buchdahl we examine the restriction of an instanton bundle V equipped with a fixed trivialisation along F to a framed vector bundle over (S,F). First we develope inspired by Huybrechts and Lehn a suitable deformation theory for vector bundles over an analytic space framed by a vector bundle over a subspace of arbitrary codimension. In the second section we describe the restriction as a smooth natural transformation into a fine moduli space. By considering framed U(r)-instanton bundles as a real structure on framed instanton bundles over P, we show that the bijection between isomorphism classes of framed U(r)-instanton bundles and isomorphism classes of framed vector bundles over (S,F) due to Buchdahl is actually an isomorphism of moduli spaces. | |
| dc.description | 19 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9611001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9611001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150227 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On framed instanton bundles and their deformations | |
| dc.type | text |