Fibered spherical 3-orbifolds
type: Item
instance of: scholarly article
title: Fibered spherical 3-orbifolds
zbMATH Open document ID: 1328.57023
DOI: 10.4171/RMI/855
author: Mattia Mecchia
author: Andrea Seppi
published in: Revista Matemática Iberoamericana
publication date: 2015-11-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1307.0641
review text: The authors of the paper under review give a classification of fibered spherical 3-orbifolds connecting them with finite subgroups of \(SO_4\). Seifert and Threlfall classified up to conjugacy the finite subgroups of \(SO_4\). The quotient of actions of many of these groups on \(S^{3}\) preserve a fibration and thus give rise to fibered orbifolds. The authors find formulas for their different topological properties such as their \(2\) dimensional base (note the fiber is one dimensional), their local invariants (defined in text) and their Euler number. In the end they tabulate these objects for each group which preserves a fibration on \(S^{3}\).
Mathematics Subject Classification ID: 57M60
Mathematics Subject Classification ID: 57M12
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 6503639
zbMATH Keywords: spherical 3-orbifolds
zbMATH Keywords: Seifert fibrations
zbMATH Keywords: finite subgroups of SO(4)
MaRDI profile type: Publication
arXiv ID: 1307.0641
cites work: Q3687355
cites work: Q4827469
cites work: Q4797360
cites work: Q3733811
cites work: Q5335830
cites work: Q3802262
cites work: Nonfibering Spherical 3-Orbifolds
cites work: Diameters of 3-sphere quotients
cites work: Seifert manifolds
cites work: Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes
description: scientific article