Geometry & Topology

Veering triangulations admit strict angle structures

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

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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.

Article information

Geom. Topol., Volume 15, Number 4 (2011), 2073-2089.

Received: 30 November 2010
Revised: 17 June 2011
Accepted: 19 September 2011
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M50: Geometric structures on low-dimensional manifolds

veering triangulation angle structure geometric structure hyperbolic surface bundle


Hodgson, Craig D; Rubinstein, J Hyam; Segerman, Henry; Tillmann, Stephan. Veering triangulations admit strict angle structures. Geom. Topol. 15 (2011), no. 4, 2073--2089. doi:10.2140/gt.2011.15.2073.

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