Braid monodromy factorizations and diffeomorphism types

In this paper we prove that if two cuspidal plane curves B\ and B have equivalent braid monodromy factorizations, then B\ and BI are smoothly isotopic in OP . As a consequence, we obtain that if Si, 82 are surfaces of general type embedded in a projective space by means of a multiple canonical class and if the discriminant curves (the branch curves) B\, B% of some smooth projections of Si, 82 to QP have equivalent braid monodromy factorizations, then Si and 52 are diffeomorphic (as real four-dimensional manifolds).