  The influence on fusion of coupling to the breakup process is investigated
for reactions where at least one of the colliding nuclei has a sufficiently low
binding energy for breakup to become an important process. Elastic scattering,
excitation functions for sub-and near-barrier fusion cross sections, and
breakup yields are analyzed for $^{6,7}$Li+$^{59}$Co. Continuum-Discretized
Coupled-Channels (CDCC) calculations describe well the data at and above the
barrier. Elastic scattering with $^{6}$Li (as compared to $^{7}$Li) indicates
the significant role of breakup for weakly bound projectiles. A study of
$^{4,6}$He induced fusion reactions with a three-body CDCC method for the
$^6$He halo nucleus is presented. The relative importance of breakup and
bound-state structure effects on total fusion is discussed.
