  We describe a program for proving that the Gromov-Witten moduli spaces of
compact symplectic manifolds carry a unique virtual fundamental class that
satisfies certain naturality conditions. The virtual fundamental class is
constructed using only Ruan-Tian perturbations by introducing stabilizing
divisors, using Cech homology, and systematically applying naturality
conditions. In high dimensions or low genus, no gluing theorems are needed.
