Cylinder decompositions on geometric armadillo tails
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917025143586816 |
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| author | Lee, Dami Southerland, Josh |
| author_facet | Lee, Dami Southerland, Josh |
| contents | We study a class of finite-area, infinite-type translation surfaces, and find an explicit cylinder decomposition on these surfaces which do not manifest on finite-type translation surfaces. Each cylinder decomposition contains a special curve which we show is an obstruction to the existence of certain affine diffeomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cylinder decompositions on geometric armadillo tails Lee, Dami Southerland, Josh Geometric Topology 37C86, 57M50, 57K20 We study a class of finite-area, infinite-type translation surfaces, and find an explicit cylinder decomposition on these surfaces which do not manifest on finite-type translation surfaces. Each cylinder decomposition contains a special curve which we show is an obstruction to the existence of certain affine diffeomorphisms. |
| title | Cylinder decompositions on geometric armadillo tails |
| topic | Geometric Topology 37C86, 57M50, 57K20 |
| url | https://arxiv.org/abs/2412.03535 |