Pseudo-Anosov flows, hyperbolic geometry, and the curve graph
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912899314745344 |
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| author | Huang, Junzhi Taylor, Samuel J. |
| author_facet | Huang, Junzhi Taylor, Samuel J. |
| contents | Starting with a pseudo-Anosov flow $φ$ on a closed hyperbolic $3$-manifold $M$ and an embedded surface $S \subset M$ that is (almost) transverse to $φ$, we relate the hyperbolic geometry of $M$ (e.g. volume, circumference, short geodesics) to dynamical invariants of $φ$ encoded by the curve graph of $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11595 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pseudo-Anosov flows, hyperbolic geometry, and the curve graph Huang, Junzhi Taylor, Samuel J. Geometric Topology Starting with a pseudo-Anosov flow $φ$ on a closed hyperbolic $3$-manifold $M$ and an embedded surface $S \subset M$ that is (almost) transverse to $φ$, we relate the hyperbolic geometry of $M$ (e.g. volume, circumference, short geodesics) to dynamical invariants of $φ$ encoded by the curve graph of $S$. |
| title | Pseudo-Anosov flows, hyperbolic geometry, and the curve graph |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.11595 |