On the cyclic coverings of the knot 5(2)

Citation
P. Bandieri et al., On the cyclic coverings of the knot 5(2), P EDIN MATH, 42, 1999, pp. 575-587
Citations number
21
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
42
Year of publication
1999
Part
3
Pages
575 - 587
Database
ISI
SICI code
0013-0915(199910)42:<575:OTCCOT>2.0.ZU;2-O
Abstract
We construct a family of hyperbolic 3-manifolds whose fundamental groups ad mit a cyclic presentation. We prove that all these manifolds are cyclic bra nched coverings of S-3 over the knot 5(2) and we compute their homology gro ups. Moreover, we show that the cyclic presentations correspond to spines o f the manifolds.