On periodic Takahashi manifolds
| dc.creator | Mulazzani, Michele | |
| dc.date | 2001-04-24 | |
| dc.date.accessioned | 2026-07-07T04:41:26Z | |
| dc.date.available | 2026-07-07T04:41:26Z | |
| dc.description | 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. | |
| dc.description | 12 pages, 5 figures. To appear in Tsukuba Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0104224 | |
| dc.identifier | http://arxiv.org/abs/math/0104224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61354 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12; 57R65 | |
| dc.title | On periodic Takahashi manifolds | |
| dc.type | text |