Magnetic monopoles on manifolds with boundary
Differential Geometry
2008-10-15 v2 Mathematical Physics
math.MP
Abstract
Kapustin and Witten associate a Hecke modification of a holomorphic bundle over a Riemann surface to a singular monopole on a Riemannian surface times an interval satisfying prescribed boundary conditions. We prove existence and uniqueness of singular monopoles satisfying prescribed boundary conditions for any given Hecke modification data confirming the underlying geometric invariant theory principle.
Keywords
Cite
@article{arxiv.0804.3649,
title = {Magnetic monopoles on manifolds with boundary},
author = {Paul Norbury},
journal= {arXiv preprint arXiv:0804.3649},
year = {2008}
}
Comments
23 pages; revised paper and added new section