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Abstract We construct the hyper-Kähler moduli space of framed monopoles over R³ R 3 for any connected, simply connected, compact, semisimple Lie group and arbitrary mass and charge, and hence arbitrary symmetry breaking. In order to do so, we define a configuration space of pairs with appropriate asymptotic conditions and perform an infinite-dimensional quotient construction. We make use of the b and scattering calculuses to study the relevant differential operators.
J. Bilbao De Mendizabal (Tue,) studied this question.