  The idea of transversality is explored in the construction of cohomology
theory associated to regularized sequences of multiple products of rational
functions associated to vertex algebra cohomology of codimension one foliations
on complex curves. Explicit formulas for cohomology invariants results from
consideration transversality conditions applied to sequences of multiple
products for elements of chain-cochain transversal complexes defined for
codimension one foliations.
