English

Veering triangulations admit strict angle structures

Geometric Topology 2016-01-20 v1

Abstract

Agol recently introduced the concept of a veering taut triangulation, which is a taut triangulation with some extra combinatorial structure. We define the weaker notion of a "veering triangulation" and use it to show that all veering triangulations admit strict angle structures. We also answer a question of Agol, giving an example of a veering taut triangulation that is not layered.

Keywords

Cite

@article{arxiv.1011.3695,
  title  = {Veering triangulations admit strict angle structures},
  author = {Craig D. Hodgson and J. Hyam Rubinstein and Henry Segerman and Stephan Tillmann},
  journal= {arXiv preprint arXiv:1011.3695},
  year   = {2016}
}

Comments

15 pages, 9 figures

R2 v1 2026-06-21T16:44:34.454Z