Veering triangulations admit strict angle structures

Abstract

Agol recently introduced the concept of a veering taut triangulation, which is a taut 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.

15 pages, 9 figures

References in corpus (3)

• On canonical triangulations of once-punctured torus bundles and two-bridge link complements
• Taut ideal triangulations of 3-manifolds
• Ideal triangulations of 3-manifolds II: taut and angle structures

Cited by in corpus (10)

• Veering triangulations and Cannon-Thurston maps
• Explicit angle structures for veering triangulations
• Taut branched surfaces from veering triangulations
• Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
• The taut polynomial and the Alexander polynomial
• Geometric triangulations and highly twisted links
• Experimental statistics of veering triangulations
• A survey of hyperbolic knot theory
• Geometric triangulations of a family of hyperbolic 3-braids
• Mutations and faces of the Thurston norm ball dynamically represented by multiple distinct flows