ON CERTAIN CLASSES OF LINKS AND 3-MANIFOLDS

Title & Authors
ON CERTAIN CLASSES OF LINKS AND 3-MANIFOLDS
Kim, Soo-Hwan; Kim, Yang-Kok;

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 $\small{m\;\ge\;1,\;n\;\ge\;3,\;and\;k\;\ge\;2}$. We prove that they are (n / d)- fold cyclic coverings of the 3-sphere branched over certain links $\small{L_{(m,d)}}$, where d = gcd(n, k), by handle decomposition of orbifolds. This generalizes the results in [3] and [2] as a particular case m = 2.
Keywords
cyclic branched covering;Heegaard diagram;orbifold;
Language
English
Cited by
1.
On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links, International Journal of Mathematics and Mathematical Sciences, 2010, 2010, 1
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