Geometry & Topology

Veering triangulations admit strict angle structures

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

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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.

Article information

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

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

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513732361

Digital Object Identifier
doi:10.2140/gt.2011.15.2073

Mathematical Reviews number (MathSciNet)
MR2860987

Zentralblatt MATH identifier
1246.57034

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

Keywords
veering triangulation angle structure geometric structure hyperbolic surface bundle

Citation

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. https://projecteuclid.org/euclid.gt/1513732361


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