  A study of the zero modes of the Faddeev-Popov operator in the maximal
Abelian gauge is presented in the case of the gauge group SU(2) and for
different Euclidean space-time dimensions. Explicit examples of classes of
normalizable zero modes and corresponding gauge field configurations are
constructed by taking into account two boundary conditions, namely: i) the
finite Euclidean Yang-Mills action, ii) the finite Hilbert norm.
