Abstract
We construct infinite families of closed connected orientable 3-manifolds obtained from certain triangulated 3-cells by pairwise identifications of their boundary faces. Our combinatorial constructions extend and complete a particular polyhedral scheme which Kim and Kostrikin used in [10] and [11] to define a series of spaces denoted M 3(n). Then we determine geometric presentations of the fundamental groups, and prove that many of the constructed manifolds are n-fold (non-strongly) cyclic coverings of the 3-sphere branched over some specified pretzel links.
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Communicated by András Némethi
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Cavicchioli, A., Spaggiari, F. Cyclic branched coverings of some pretzel links. Period Math Hung 67, 1–14 (2013). https://doi.org/10.1007/s10998-013-2837-z
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DOI: https://doi.org/10.1007/s10998-013-2837-z