Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 13, Number 1 (2013), 205-235.
Explicit angle structures for veering triangulations
Agol recently introduced the notion of a veering triangulation, and showed that such triangulations naturally arise as layered triangulations of fibered hyperbolic –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.
Algebr. Geom. Topol., Volume 13, Number 1 (2013), 205-235.
Received: 13 January 2011
Revised: 29 May 2012
Accepted: 18 August 2012
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57M50: Geometric structures on low-dimensional manifolds 57R05: Triangulating
Futer, David; Guéritaud, François. Explicit angle structures for veering triangulations. Algebr. Geom. Topol. 13 (2013), no. 1, 205--235. doi:10.2140/agt.2013.13.205. https://projecteuclid.org/euclid.agt/1513715496