Journal of the
Korean Mathematical Society JKMS

We construct a family of hyperbolic $3$-manifolds by pairwise identifications of faces in the boundary of certain polyhedral $3$-balls and prove that all these manifolds are cyclic branched coverings of the $3$-sphere over certain family of links with two components. These extend some results from [5] and [10] concerning with the branched coverings of the whitehead link.

Keywords: crystallization, cyclic branched covering, symmetric Heegaard splitting

MSC numbers: Primary 57M12, 57M25; Secondary 57M50, 57N10