A comparative study of Abelian and Monopole dominance in the Laplacian and
Maximally Abelian projected gauges is carried out. Clear evidence for both
types of dominance is obtained for the Laplacian projection. Surprisingly, the
evidence is much more ambiguous in the Maximally Abelian gauge. This is
attributed to possible ``long-distance imperfections'' in the maximally abelian
gauge fixing.Comment: LATTICE98(confine), 3 page