@inbook{10.2307/j.ctt7zv206.7,
URL = {http://www.jstor.org/stable/j.ctt7zv206.7},
abstract = {In the previous chapter we saw that the parameter space of basedk-monopoles is a manifoldMkof dimension 4k, and Donaldson’s theorem gives us a simple explicit model of this manifold. We shall now go on to introduce and investigate the natural Riemannian metric ofMk. This is given by theL2-norm of the “zero-modes”, i.e. the solutions of the linearized equations, and the first thing is to show that this is finite, that is, that the zero-modes are square-integrable. Because of the non-compactness of R3this is not trivial, and it requires analytical justification. Fortunately, Taubes [44] has},
bookauthor = {MICHAEL FRANCIS ATIYAH and NIGEL HITCHIN},
booktitle = {The Geometry and Dynamics of Magnetic Monopoles},
pages = {21--27},
publisher = {Princeton University Press},
title = {Metric of Monopole Spaces},
year = {1988}
}