Relative Hitchin--Kobayashi correspondences for principal pairs
| dc.creator | Bradlow, Steven B. | |
| dc.creator | Garcia-Prada, Oscar | |
| dc.creator | Rierra, Ignasi Mundet i | |
| dc.date | 2002-06-03 | |
| dc.date.accessioned | 2026-07-07T04:48:50Z | |
| dc.date.available | 2026-07-07T04:48:50Z | |
| dc.description | A principal pair consists of a holomorphic principal $G$-bundle together with a holomorphic section of an associated Kaehler fibration. Such objects support natural gauge theoretic equations coming from a moment map condition, and also admit a notion of stability based on Geometric Invariant Theory. The Hitchin--Kobayashi correspondence for principal pairs identifies stability as the condition for the existence of solutions to the equations. In this paper we generalize these features in a way which allows the full gauge group of the principal bundle to be replaced by certain proper subgroups. Such a generalization is needed in order to use principal pairs as a general framework for describing augmented holomorphic bundles. We illustrate our results with applications to well known examples. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206003 | |
| dc.identifier | http://arxiv.org/abs/math/0206003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64202 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Relative Hitchin--Kobayashi correspondences for principal pairs | |
| dc.type | text |