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Braid monodromy factorizations and diffeomorphism types

Braid monodromy factorizations and diffeomorphism types

In this paper we prove that if two cuspidal plane curves B 1 and B 2 have equivalent braid monodromy factorizations, then B 1 and B 2 are smoothly isotopic in CP 2 .As a consequence, we obtain that if the discriminant curves (or branch curves in other terminology) B …