From pseudo-Anosov flows on graph manifolds to totally periodic flows
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910082187395072 |
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| author | Tsang, Chi Cheuk |
| author_facet | Tsang, Chi Cheuk |
| contents | We show that every pseudo-Anosov flow on a graph manifold is almost equivalent, i.e. orbit equivalent in the complement of a finite collection of closed orbits, to a totally periodic pseudo-Anosov flow or a suspension Anosov flow. The proof is via a hands-on construction of a partial Birkhoff section with genus one components that misses finitely many closed orbits. When combined with previous work of the author, this implies that every transitive Anosov flow on a graph manifold with orientable stable and unstable foliations is almost equivalent to a suspension Anosov flow. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_27362 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From pseudo-Anosov flows on graph manifolds to totally periodic flows Tsang, Chi Cheuk Dynamical Systems Geometric Topology We show that every pseudo-Anosov flow on a graph manifold is almost equivalent, i.e. orbit equivalent in the complement of a finite collection of closed orbits, to a totally periodic pseudo-Anosov flow or a suspension Anosov flow. The proof is via a hands-on construction of a partial Birkhoff section with genus one components that misses finitely many closed orbits. When combined with previous work of the author, this implies that every transitive Anosov flow on a graph manifold with orientable stable and unstable foliations is almost equivalent to a suspension Anosov flow. |
| title | From pseudo-Anosov flows on graph manifolds to totally periodic flows |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2603.27362 |