  This is the second part of an article in two parts, which builds the
foundation of a Floer-theoretic invariant, I_F. (See math.DG/0111313 for part
I).
  Having constructed I_F and outlined a proof of its invariance based on
bifurcation analysis in part I, in this part we prove a series of gluing
theorems to confirm the bifurcation behavior predicted in part I. These gluing
theorems are different from (and much harder than) the more conventional
versions in that they deal with broken trajectories or broken orbits connected
at degenerate rest points. The issues of orientation and signs are also settled
in the last section.
