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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.05222 |
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| _version_ | 1866914031141388288 |
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| author | Futer, David |
| author_facet | Futer, David |
| contents | This paper proves that every periodic automorphism of a closed hyperbolic surface S sends some curve to a nearly disjoint curve. In particular, periodic maps cannot have the property that every curve fills with its image, so no such map can give a positive answer to a question of Wright. This paper also answers a question of Schleimer about irreducible periodic surface maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | There are no periodic Wright maps Futer, David Geometric Topology 57K20 This paper proves that every periodic automorphism of a closed hyperbolic surface S sends some curve to a nearly disjoint curve. In particular, periodic maps cannot have the property that every curve fills with its image, so no such map can give a positive answer to a question of Wright. This paper also answers a question of Schleimer about irreducible periodic surface maps. |
| title | There are no periodic Wright maps |
| topic | Geometric Topology 57K20 |
| url | https://arxiv.org/abs/2509.05222 |