The many faces of cyclic branched coverings of 2-bridge knots and links

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We discuss 3-manifolds which are cyclic coverings of the 3-sphere, branched over 2-bridge knots and links. Different descriptions of these manifolds are presented: polyhedral, Heegaard diagram, Dehn surgery and coloured graph constructions. Using these descriptions, we give presentations for their fundamental groups, which are cyclic presentations in the case of 2-bridge knots. The homology groups are given for a wide class of cases. Moreover, we prove that each singly-cyclic branched covering of a 2-bridge link is the composition of a meridian-cyclic branched covering of a determined link and a cyclic branched covering of a trivial knot.
46 pages, 13 figures. To appear in Atti del Seminario Matematico e Fisico dell'Universita' di Modena, special issue dedicated to the memory of Mario Pezzana

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Geometric Topology, 57M12; 57R65

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http://salesiana.dossiersoluciones.com/handle/123456789/61692

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106164
 http://arxiv.org/abs/math/0106164

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arXiv