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On hyperbolic 3-manifolds with symmetric Heegaard splittings

김양곡|김수환
대한수학회 (The Korean Mathematical Society)|2009.11|대한수학회지 (Journal of the KMS)|제46권 제6호|pp. 1119-1137

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참고문헌

키워드

crystallizationcyclic branched coveringsymmetric Heegaard splitting
주제분류수학

초록

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.

Abstract

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.

참고문헌 (17)

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