Abstract. In this paper we show a Zariski pair of sextics which is not a degeneration of the original example given by Zariski. This is the first example of this kind known. The two curves of the pair have a trivial Alexander polynomial. The difference in the topology of their complements can only be detected via finer invariants or techniques. In our case the generic braid monodromies, the fundamental groups, the characteristic varieties and the existence of dihedral coverings of P 2 ramified along them can be used to distinguish the two sextics. Our intention is not only to use different methods and give a general description of them but also to bring together different perspectives of the same problem.
María Teresa, Maite, Lozano is a great person and mathematician, in these pages we can only give a very small account of her results trying to resemble her personality. We will focus our attention only on a few of the facets of her work, mainly in collaboration with Mike Hilden and José María Montesinos because as Maite Lozano pointed out in an international conference in Umeå University in June 2017, where she was a plenary speaker:
I am specially proud of been part of the team Hilden-Lozano-Montesinos (H-L-M), and of our mathematical achievements
Historical motivation of universal links and knotsA first step in the study of 3-dimensional manifolds, before trying to classify them, is to find a good system of representation and to have a list. There are several classical ways to do that: using Heegaard diagrams, surgery on links, crystallizations. These proceedings contain a good account in several articles. There is another very important and classical way: using branched coverings of the sphere.The use of branched coverings of the sphere to represent manifolds is inspired in the great importance of these objects in the study of Riemann surfaces. In fact, Riemann surfaces B Enrique Artal artal@unizar.es
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