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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

Abstract

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. https://doi.org/10.2140/agt.2013.13.205

Information

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

Subjects:
Primary: 57M50, 57R05

Rights: Copyright © 2013 Mathematical Sciences Publishers

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