Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications

Ian Agol; Chi Cheuk Tsang

doi:10.2140/agt.2024.24.3401

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arXiv · 2201.02706

Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications

Ian Agol·Chi Cheuk Tsang

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Abstract

We study the strongly connected components of the flow graph associated to a veering triangulation, and show that the infinitesimal components must be of a certain form, which have to do with subsets of the triangulation which we call `walls'. We show two applications of this knowledge: (1) a fix of a proof in the original paper by the first author which introduced veering triangulations; and (2) an alternate proof that veering triangulations induce pseudo-Anosov flows without perfect fits, which was initially proved by Schleimer and Segerman.

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Ian Agol, Chi Cheuk Tsang. 2022-01-07. Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications. https://doi.org/10.2140/agt.2024.24.3401

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