Minimal triangulations for an infinite family of lens spaces

Jaco, William, Rubinstein, Hyam and Tillmann, Stephan (2009) Minimal triangulations for an infinite family of lens spaces. Journal of Topology, 2 1: 157-180. doi:10.1112/jtopol/jtp004

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Author Jaco, William
Rubinstein, Hyam
Tillmann, Stephan
Title Minimal triangulations for an infinite family of lens spaces
Journal name Journal of Topology   Check publisher's open access policy
ISSN 1753-8416
Publication date 2009
Sub-type Article (original research)
DOI 10.1112/jtopol/jtp004
Volume 2
Issue 1
Start page 157
End page 180
Total pages 24
Place of publication Oxford, United Kingdom
Publisher Oxford University Press
Language eng
Abstract The notion of a layered triangulation of a lens space was defined by Jaco and Rubinstein, and unless the lens space is L(3,1), a layered triangulation with the minimal number of tetrahedra was shown to be unique and termed its minimal layered triangulation. This paper proves that for each n ⩾ 2, the minimal layered triangulation of the lens space L(2n, 1) is its unique minimal triangulation. More generally, the minimal triangulations (and hence the complexity) are determined for an infinite family of lens spaces containing the lens space of the form L(2n, 1).
Keyword 3-Manifolds
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Thu, 01 Dec 2011, 14:30:30 EST by Dr Benjamin Burton on behalf of Mathematics