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$\mathbb{Z}_2$–Thurston
norm and complexity of $3$–manifolds, II
William Jaco, J Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann |
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Algebraic & Geometric Topology 20 (2020) 503–529
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Abstract |
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In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed –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 . |
Keywords
3–manifold, minimal triangulation, layered triangulation,
efficient triangulation, complexity, Seifert fibred space,
lens space
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Mathematical Subject Classification 2010
Primary: 57N10, 57Q15
Secondary: 57M27, 57M50
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References |
Publication
Received: 29 April 2019
Revised: 11 July 2019
Accepted: 30 July 2019
Published: 23 February 2020
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Authors |
| William Jaco | |
| Department of Mathematics Oklahoma State University Stillwater, OK United States |
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| J Hyam Rubinstein | |
| Department of Mathematics and
Statistics The University of Melbourne Parkville, VIC Australia |
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| Jonathan Spreer | |
| School of Mathematics and
Statistics The University of Sydney Sydney, NSW Australia |
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| Stephan Tillmann | |
| School of Mathematics and
Statistics The University of Sydney Sydney, NSW Australia |
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