\(\mathbb{Z}_2\)-Thurston Norm and Complexity of 3-Manifolds, II

William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann


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 \(\widetilde{\mathrm{SL}_2(\mathbb{R})}\).

AMS Subject Classification: Primary 57Q15; secondary 57N10, 57M50, 57M27.

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Thursday, October 24, 2019