Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910658378858496 |
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| author | Agol, Ian Tsang, Chi Cheuk |
| author_facet | Agol, Ian Tsang, Chi Cheuk |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_02706 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications Agol, Ian Tsang, Chi Cheuk Geometric Topology Dynamical Systems 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. |
| title | Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2201.02706 |