Veering triangulations admit strict angle structures

Mathematics – Geometric Topology

Scientific paper

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15 pages, 9 figures

Scientific paper

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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