English

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

Geometric Topology 2020-03-11 v2

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 SL2(R)~.\widetilde{\text{SL}_2(\mathbb{R})}.

Keywords

Cite

@article{arxiv.1711.10737,
  title  = {Z2-Thurston Norm and Complexity of 3-Manifolds, II},
  author = {William Jaco and J. Hyam Rubinstein and Jonathan Spreer and Stephan Tillmann},
  journal= {arXiv preprint arXiv:1711.10737},
  year   = {2020}
}

Comments

21 pages, 10 figures