Cyclic generalizations of two hyperbolic icosahedral manifolds
type: Item
instance of: scholarly article
title: Cyclic generalizations of two hyperbolic icosahedral manifolds
zbMATH Open document ID: 1270.57009
author: Andrei Vesnin
author: Paola Cristofori
author: T. A. Kozlovskaya
published in: Topology and its Applications
publication date: 2012-04-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.3134
review text: The authors study the families of closed orientable \(3\)-manifolds \(M_{24}(n)\) and \(M_{25}(n)\) constructed by \textit{A. Cavicchioli, F. Spaggiari} and \textit{A. I. Telloni} [Topology Appl. 157, No. 5, 921--931 (2010; Zbl 1208.57004)]. They give presentations of their fundamental groups, and show that they are strongly cyclic branched covers of the lens space \(L_{3,1}\), branched over a link with \(2\) or \(3\) components. They also show that \(M_{24}(n)\) and \(M_{25}(n)\) are hyperbolic for \(3\leq n\leq 6\) and determine their volumes.
Mathematics Subject Classification ID: 57M12
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 6029112
zbMATH Keywords: 3-manifolds
zbMATH Keywords: cyclic branched coverings
zbMATH Keywords: Lens spaces
zbMATH Keywords: links in manifolds
reviewed by: António Salgueiro
MaRDI profile type: Publication
OpenAlex ID: W2037520384
arXiv ID: 1110.3134
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DOI: 10.1016/J.TOPOL.2012.01.016
description: scientific article; zbMATH DE number 6029112