Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
Geometric Topology
2024-10-23 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2201.02706,
title = {Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications},
author = {Ian Agol and Chi Cheuk Tsang},
journal= {arXiv preprint arXiv:2201.02706},
year = {2024}
}
Comments
v2 - 54 pages, 24 figures; minor changes, to appear in Algebraic and Geometric Topology