From loom spaces to veering triangulations

Saul Schleimer; Henry Segerman

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arXiv · 2108.10264

From loom spaces to veering triangulations

Saul Schleimer·Henry Segerman

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Abstract

We introduce loom spaces, a generalisation of both the leaf spaces associated to pseudo-Anosov flows and the link spaces associated to veering triangulations. Following work of Gu\'eritaud, we prove that there is a locally veering triangulation canonically associated to every loom space, and that the realisation of this triangulation is homeomorphic to $\mathbb{R}^3$.

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Saul Schleimer, Henry Segerman. 2021-08-23. From loom spaces to veering triangulations. https://arxiv.org/abs/2108.10264

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