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3-Manifolds from Platonic Solids

Everitt, B. (2003) 3-Manifolds from Platonic Solids. Topology and its Applications, 138 (1-3). pp. 253-263. ISSN 0166-8641

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Abstract

The problem of classifying, up to isometry, the orientable spherical and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is formulated in the language of Coxeter groups. This allows us to complete the classification begun by Best [Canad. J. Math. 23 (1971) 451], Lorimer [Pacific J. Math. 156 (1992) 329], Richardson and Rubinstein [Hyperbolic manifolds from a regular polyhedron, Preprint].

Item Type: Article
Keywords: 3-manifolds; Coxeter groups
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 14 May 2009 13:03
Last Modified: 14 May 2009 13:03
Published Version: http://dx.doi.org/1016/j.topol.2003.08.025
Status: Published
Publisher: Elsevier Science B.V., Amsterdam.
Refereed: Yes
Identification Number: 10.1016/j.topol.2003.08.025
URI: http://eprints.whiterose.ac.uk/id/eprint/7707

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