#### Volume 15, issue 4 (2011)

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Veering triangulations admit strict angle structures

### Craig D Hodgson, J Hyam Rubinstein, Henry Segerman and Stephan Tillmann

Geometry & Topology 15 (2011) 2073–2089
##### Abstract

Agol recently introduced the concept of a veering taut triangulation of a $3$–manifold, which is a taut ideal 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
veering triangulation, angle structure, geometric structure, hyperbolic surface bundle
Primary: 57M50