Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
| dc.creator | Nasatyr, Ben | |
| dc.creator | Steer, Brian | |
| dc.date | 1995-04-26 | |
| dc.date | 1995-04-27 | |
| dc.date.accessioned | 2026-07-07T08:57:57Z | |
| dc.date.available | 2026-07-07T08:57:57Z | |
| dc.description | We extend Hitchin's results on "The self-duality equations on a Riemann surface" (Proc. LMS (3), vol. 55, 1987) to orbifold Riemann surfaces. We prove existence results for orbifold solutions of the Yang-Mills-Higgs equations and construct the moduli space of solutions. These moduli spaces provide interesting examples of non-compact hyper-Kahler manifolds in all dimensions divisible by 4 and of completely integrable Hamiltonian systems. We also reinterpret these moduli spaces as spaces of orbifold Higgs bundles and as representation varieties of Fuchsian groups. | |
| dc.description | Hard copies are available on request. This paper will appear in the "Annali della Scuola Normale Superiore di Pisa (classe di scienze)". LaTeX2.09 with AMS fonts | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9504015 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9504015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147134 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations | |
| dc.type | text |