Explicit angle structures for veering triangulations
Geometric Topology
2014-10-01 v2
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.
Keywords
Cite
@article{arxiv.1012.5134,
title = {Explicit angle structures for veering triangulations},
author = {David Futer and François Guéritaud},
journal= {arXiv preprint arXiv:1012.5134},
year = {2014}
}
Comments
23 pages, 8 figures. v2 contains a cleaner definition of holonomy in Section 6.1, and minor expository changes throughout. To appear in Algebraic & Geometric Topology