Translation surfaces with large systoles
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929285896339456 |
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| author | Buser, Peter Makover, Eran Muetzel, Bjoern |
| author_facet | Buser, Peter Makover, Eran Muetzel, Bjoern |
| contents | In this paper we continue to investigate the systolic landscape of translation surfaces started in [CHMW]. We show that there is an infinite sequence of surfaces $(S_{g_k})_k$ of genus $g_k$, where $g_k \to \infty$ with large systoles. On the other hand we show that for hyperelliptic surfaces we can find a suitable homology basis, where a large number of loops that induce the basis are short. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14923 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Translation surfaces with large systoles Buser, Peter Makover, Eran Muetzel, Bjoern Differential Geometry Complex Variables Metric Geometry 30F10, 32G15 and 53C22 In this paper we continue to investigate the systolic landscape of translation surfaces started in [CHMW]. We show that there is an infinite sequence of surfaces $(S_{g_k})_k$ of genus $g_k$, where $g_k \to \infty$ with large systoles. On the other hand we show that for hyperelliptic surfaces we can find a suitable homology basis, where a large number of loops that induce the basis are short. |
| title | Translation surfaces with large systoles |
| topic | Differential Geometry Complex Variables Metric Geometry 30F10, 32G15 and 53C22 |
| url | https://arxiv.org/abs/2403.14923 |