On periodic Takahashi manifolds
Geometric Topology
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0104224,
title = {On periodic Takahashi manifolds},
author = {Michele Mulazzani},
journal= {arXiv preprint arXiv:math/0104224},
year = {2007}
}
Comments
12 pages, 5 figures. To appear in Tsukuba Journal of Mathematics