  Purpose of the Conference article, intended for a wider audience, is to
introduce concepts and techniques used by Bronislaw Wajnryb and the author in
order to show the diffeomorphism of certain elementary algebraic surfaces,
called ABC surfaces, which are not deformation equivalent. In the first part
are recalled the concepts of connected sum, surgeries, Poincare' group, Braids,
Riemann surfaces and Dehn's Mapping class group. Then the topics become more
advanced, including Lefschetz fibrations,
  ABC surfaces, symplectic fibrations and braid monodromy.
