On periodic Takahashi manifolds

Michele Mulazzani

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On periodic Takahashi manifolds

Michele Mulazzani

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Abstract

In this paper we show that periodic Takahashi 3-manifolds are cyclic coverings of the connected sum of two lens spaces (possibly cyclic coverings of the 3-sphere), branched over knots. When the base space is a 3-sphere, we prove that the associated branching set is a two-bridge knot of genus one, and we determine its type. Moreover, a geometric cyclic presentation for the fundamental groups of these manifolds is obtained in several interesting cases, including the ones corresponding to the branched cyclic coverings of the 3-sphere.

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Michele Mulazzani. 2001-04-24. On periodic Takahashi manifolds. https://arxiv.org/abs/math/0104224

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