Open Access
2013 Explicit angle structures for veering triangulations
David Futer, François Guéritaud
Algebr. Geom. Topol. 13(1): 205-235 (2013). DOI: 10.2140/agt.2013.13.205


Agol recently introduced the notion of a veering triangulation, and showed that such triangulations naturally arise as layered triangulations of fibered hyperbolic 3–manifolds. We prove, by a constructive argument, that every veering triangulation admits positive angle structures, recovering a result of Hodgson, Rubinstein, Segerman, and Tillmann. Our construction leads to explicit lower bounds on the smallest angle in this positive angle structure, and to information about angled holonomy of the boundary tori.


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David Futer. François Guéritaud. "Explicit angle structures for veering triangulations." Algebr. Geom. Topol. 13 (1) 205 - 235, 2013.


Received: 13 January 2011; Revised: 29 May 2012; Accepted: 18 August 2012; Published: 2013
First available in Project Euclid: 19 December 2017

zbMATH: 1270.57054
MathSciNet: MR3031641
Digital Object Identifier: 10.2140/agt.2013.13.205

Primary: 57M50 , 57R05

Keywords: angle structure , geometric structure , hyperbolic surface bundle , veering triangulation

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.13 • No. 1 • 2013
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