# ON CERTAIN CLASSES OF LINKS AND 3-MANIFOLDS

• Published : 2005.10.01

#### Abstract

We construct an infinite family of closed 3-manifolds M(2m+ 1, n, k) which are identification spaces of certain polyhedra P(2m+ 1, n, k), for integers $m\;\ge\;1,\;n\;\ge\;3,\;and\;k\;\ge\;2$. We prove that they are (n / d)- fold cyclic coverings of the 3-sphere branched over certain links $L_{(m,d)}$, where d = gcd(n, k), by handle decomposition of orbifolds. This generalizes the results in [3] and [2] as a particular case m = 2.

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#### Cited by

1. On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links vol.2010, 2010, https://doi.org/10.1155/2010/573403