  We construct a class of perturbations of the Cauchy-Riemann equation for maps
from curves to a Calabi-Yau threefold, allowing Maslov zero Lagrangian boundary
conditions. Our perturbations vanish on components of zero symplectic area. For
generic 1-parameter families of perturbations, the locus of solution curves
without zero-area components is compact, transversely cut out, and satisfies
certain natural coherence properties. In short, we construct an `adequate
perturbation scheme' with the needed properties to set up the skein-valued
curve counting, as axiomatized in our previous work.
  The main technical content is the construction, over the
Hofer-Wysocki-Zehnder Gromov-Witten configuration spaces, of perturbations to
which the `ghost bubble censorship' argument can be applied. Certain local
aspects of this problem were resolved in our previous work. The key remaining
difficulty is to ensure inductive compatibilities, despite the non-existence of
marked-point-forgetting maps for the configuration spaces.
