  We incorporate pearly Floer trajectories into the transversality scheme for
pseudoholomorphic maps introduced by Cieliebak-Mohnke. By choosing generic
domain-dependent almost complex structures we obtain zero and one-dimensional
moduli spaces with the structure of cell complexes with rational fundamental
classes. This gives a definition of Floer cohomology over Novikov rings via
stabilizing divisors for compact symplectic manifolds with rational symplectic
classes and Lagrangians that are fixed point sets of anti-symplectic
involutions satisfying certain Maslov index conditions, in particular,
Hamiltonian Floer cohomology.
