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Veering triangulations admit strict angle structures. (English) Zbl 1246.57034

The authors introduce a weaker notion of the concept of a veering taut triangulation of a \(3\)-manifold, recently introduced by I. Agol in his preprint [Ideal triangulations of pseudo-Anosov mapping tori, arXiv:1008.1606]. They use this weaker version in order to show that all veering triangulations admit strict angle structures. In particular, this then allows to show that there exist veering taut triangulations which are not layered (in fact the manifolds in this type of examples are not fibred over the circle). This answers a question asked by I. Agol.

MSC:

57M50 General geometric structures on low-dimensional manifolds

Software:

SnapPea
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References:

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