Z2-Thurston Norm and Complexity of 3-Manifolds, II

In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3--manifold, as well as a characterisation of manifolds realising our complexity bounds. As an application, we obtain the first infinite families of minimal triangulations of Seifert fibred...

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Bibliographic Details
Published inarXiv.org
Main Authors Jaco, William, Rubinstein, J Hyam, Spreer, Jonathan, Tillmann, Stephan
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.12.2017
Subjects
Complexity
Mathematics - Geometric Topology
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Summary:In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3--manifold, as well as a characterisation of manifolds realising our complexity bounds. As an application, we obtain the first infinite families of minimal triangulations of Seifert fibred spaces modelled on Thurston's geometry \(\widetilde{\text{SL}_2(\mathbb{R})}.\)
ISSN:2331-8422
DOI:10.48550/arxiv.1711.10737