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arxiv: 1011.3695 · v1 · pith:V4TLSCLKnew · submitted 2010-11-16 · 🧮 math.GT

Veering triangulations admit strict angle structures

classification 🧮 math.GT
keywords veeringtriangulationtautadmitagolanglestrictstructures
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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.

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