Monopoles in R^3

The aim of this thesis is to investigate the moduli space of framed monopoles with structure group $SU(N)$ over the radial compactification of $\R^3$. The moduli space of monopoles is provided with the differential structure of a smooth manifold in a similar way as it is done for instantons, that is, via a slice theorem. Later, the dimension of this manifold is computed using an index formula developed by C. Kottke. This result agrees with the one coming from the bijection with rational maps obtained by S. Jarvis.