  The results in this paper concern computations of Floer cohomology using
generating functions. The first part proves the isomorphism between Floer
cohomology and Generating function cohomology introduced by Lisa Traynor. The
second part proves that the Floer cohomology of the cotangent bundle (in the
sense of Part I), is isomorphic to the cohomology of the loop space of the
base. This has many consequences, some of which were given in Part I (GAFA,
Geom. funct. anal. Vol. 9 (1999) 985-1033), others will be given in forthcoming
papers. The results in this paper had been announced (with indications of
proof) in a talk at the ICM 94 in Z{\"u}rich. Up to typos, this is the revised
version from 2003.
