Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912124726411264 |
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| author | Tsang, Chi Cheuk |
| author_facet | Tsang, Chi Cheuk |
| contents | We introduce a new method of constructing Birkhoff sections for pseudo-Anosov flows, which uses the connection between pseudo-Anosov flows and veering triangulations. This method allows for explicit constructions, as well as control over the Birkhoff section in terms of its Euler characteristic and the complexity of the boundary orbits. In particular, we show that any transitive pseudo-Anosov flow has a Birkhoff section with two boundary components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_09586 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity Tsang, Chi Cheuk Dynamical Systems Geometric Topology We introduce a new method of constructing Birkhoff sections for pseudo-Anosov flows, which uses the connection between pseudo-Anosov flows and veering triangulations. This method allows for explicit constructions, as well as control over the Birkhoff section in terms of its Euler characteristic and the complexity of the boundary orbits. In particular, we show that any transitive pseudo-Anosov flow has a Birkhoff section with two boundary components. |
| title | Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2206.09586 |