Magnetic monopoles on manifolds with boundary

Details Magnetic monopoles on manifolds with boundary Magnetic monopoles on manifolds with boundary

2008-04-23

arxiv.org/abs/0804.3649v2

Mathematics

Differential Geometry

23 pages; revised paper and added new section

Scientific paper

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.

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