79154 20200117221641.0 doi 10.1007/s13398-017-0477-5 sideral 107089 ART-2018-107089 eng (orcid)0000-0002-1184-5901 Lozano Rojo, Á. Banchoff’s sphere and branched covers over the trefoil 2018 Access copy available to the general public Unrestricted A filling Dehn surface in a 3-manifold M is a generically immersed surface in M that induces a cellular decomposition of M. Given a tame link L in M, there is a filling Dehn sphere of M that “trivializes” (diametrically splits) it. This allows to construct filling Dehn surfaces in the coverings of M branched over L. It is shown that one of the simplest filling Dehn spheres of S3 (Banchoff’s sphere) diametrically splits the trefoil knot. Filling Dehn spheres, and their Johansson diagrams, are constructed for the coverings of S3 branched over the trefoil. The construction is explained in detail. Johansson diagrams for generic cyclic coverings and for the simplest locally cyclic and irregular ones are constructed explicitly, providing new proofs of known results about cyclic coverings and the 3-fold irregular covering over the trefoil. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MINECO/MTM2013-45710-C2 info:eu-repo/grantAgreement/ES/MINECO/MTM2013-46337-C2-2 info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77642-C2 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.028 2018 MATHEMATICS 87 / 313 = 0.278 2018 Q2 T1 0.565 2018 Algebra and Number Theory 2018 Q2 Analysis 2018 Q2 Geometry and Topology 2018 Q2 Computational Mathematics 2018 Q2 Applied Mathematics 2018 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-7111-5022 Vigara, R. 112, 3 (2018), 751-765 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 1578-7303 934720 http://zaguan.unizar.es/record/79154/files/texto_completo.pdf Postprint 9776 http://zaguan.unizar.es/record/79154/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:79154 articulos driver 2020-01-17-22:04:24 ARTICLE