Cyclic branched coverings of some pretzel links
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  and  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.
Key words and phrases3-manifolds group presentations spines orbifolds polyhedral schemata branched coverings
Mathematics subject classification numbers57M12 57M25
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