Legendrian position of veering triangulations

Chi Cheuk Tsang

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arXiv · 2604.06690

Legendrian position of veering triangulations

Chi Cheuk Tsang

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Abstract

We make a first step towards connecting the theory of veering triangulations and bicontact structures as tools for studying (pseudo-)Anosov flows: We show that given a veering triangulation corresponding to an Anosov flow with orientable stable and unstable foliations, the edges of the triangulation can be realized as Legendrian arcs with respect to a strongly adapted bicontact structure that supports the Anosov flow. Along the way, we show that every veering triangulation can be placed in `steady position', where each pair of edge projections that intersect in the orbit space only intersect once transversely. By a previous result of the author, this implies that horizontal surgery of veering triangulations correspond to horizontal Goodman surgery of pseudo-Anosov flows.

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BibTeX RIS

Chi Cheuk Tsang. 2026-04-08. Legendrian position of veering triangulations. https://arxiv.org/abs/2604.06690

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