Teichmüller disks with small limit sets in PMF
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908572742320128 |
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| author | Lenzhen, Anna |
| author_facet | Lenzhen, Anna |
| contents | We study limit sets of Teichmüller disks in the Thurston boundary of Teichmüller space of a closed surface S of genus at least 2. It is well known that almost every Teichmüller geodesic ray converges to a point on the boundary. We show that unlike rays, Teichmüller disks with smallest possible limit sets are extremely rare. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Teichmüller disks with small limit sets in PMF Lenzhen, Anna Geometric Topology 57K20 We study limit sets of Teichmüller disks in the Thurston boundary of Teichmüller space of a closed surface S of genus at least 2. It is well known that almost every Teichmüller geodesic ray converges to a point on the boundary. We show that unlike rays, Teichmüller disks with smallest possible limit sets are extremely rare. |
| title | Teichmüller disks with small limit sets in PMF |
| topic | Geometric Topology 57K20 |
| url | https://arxiv.org/abs/2510.00286 |