Structures of small closed non-orientable 3-manifold triangulations

Burton, B 2007, 'Structures of small closed non-orientable 3-manifold triangulations', Journal of Knot Theory and its Ramifications, vol. 16, no. 5, pp. 545-574.


Document type: Journal Article
Collection: Journal Articles

Title Structures of small closed non-orientable 3-manifold triangulations
Author(s) Burton, B
Year 2007
Journal name Journal of Knot Theory and its Ramifications
Volume number 16
Issue number 5
Start page 545
End page 574
Total pages 30
Publisher World Scientific Publishing
Abstract A census is presented of all closed non-orientable 3-manifold triangulations formed from at most seven tetrahedra satisfying the additional constraints of minimality and P2-irreducibility. The eight different 3-manifolds represented by these 41 different triangulations are identified and described in detail, with particular attention paid to the recurring combinatorial structures that are shared amongst the different triangulations. Using these recurring structures, the resulting triangulations are generalised to infinite families that allow similar triangulations of additional 3-manifolds to be formed.
Subject Topology
Keyword(s) 3-manifold
minimal triangulation
census
ISSN 0218-2165
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
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