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

William Jaco; J. Hyam Rubinstein; Jonathan Spreer; Stephan Tillmann

doi:10.2140/agt.2020.20.503

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arXiv · 1711.10737

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

William Jaco·J. Hyam Rubinstein·Jonathan Spreer·Stephan Tillmann

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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 $\widetilde{\text{SL}_2(\mathbb{R})}.$

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William Jaco, J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann. 2017-11-29. Z2-Thurston Norm and Complexity of 3-Manifolds, II. https://doi.org/10.2140/agt.2020.20.503

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