We study the BPS states of the M-fivebrane which correspond to monopoles of
N = 2 SU(2) gauge theory. Far away from the centres of the monopoles these
states may-be viewed as solitons in the Seiberg-Witten effective action. I
t is argued that these solutions are smooth and some properties of their mo
duli space are discussed. (C) 1999 Elsevier Science B.V. All rights reserve
d.