Magnetic bag like solutions to the SU(2) monopole equations on R^3
arXiv:1302.5314 · doi:10.1007/s00220-014-1927-y
Abstract
Solutions to the SU(2) monopole equations in the Bogolmony limit are constructed that look very much like Bolognesi's conjectured magnetic bag solutions. Three theorems are also stated and proved that give bounds in terms of the topological charge for the radii of balls where the solution's Higgs field has very small norm
Corrected statement of Theorem 1.1