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

### William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann

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

: Primary 57Q15; secondary 57N10, 57M50, 57M27.

This paper is available as a pdf (344kB) file. It is also on the arXiv: arxiv.org/abs/1711.10737.

 Thursday, October 24, 2019