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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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
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Abstract 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 \(\widetilde{\text{SL}_2(\mathbb{R})}.\)
AbstractList Algebr. Geom. Topol. 20 (2020) 503-529 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 $\widetilde{\text{SL}_2(\mathbb{R})}.$
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 \(\widetilde{\text{SL}_2(\mathbb{R})}.\)
Author Jaco, William
Spreer, Jonathan
Rubinstein, J Hyam
Tillmann, Stephan
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BackLink https://doi.org/10.2140/agt.2020.20.503$$DView published paper (Access to full text may be restricted)
https://doi.org/10.48550/arXiv.1711.10737$$DView paper in arXiv
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Snippet 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...
Algebr. Geom. Topol. 20 (2020) 503-529 In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed...
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Title Z2-Thurston Norm and Complexity of 3-Manifolds, II
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