Tangle free permutations and the Putman-Wieland property of Random covers
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917600901988352 |
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| author | Klukowski, Adam Marković, Vladimir |
| author_facet | Klukowski, Adam Marković, Vladimir |
| contents | Let $Σ^p_g$ denote a surface of genus $g$ and with $p$ punctures. Our main result is that the fraction of degree $n$ covers of $Σ^p_g$ which have the Putman-Wieland property tends to $1$ as $n\to \infty$. In addition, we show that the monodromy of a random cover of $Σ^p_g$ is asymptotically almost surely tangle free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tangle free permutations and the Putman-Wieland property of Random covers Klukowski, Adam Marković, Vladimir Geometric Topology Metric Geometry Primary 20H10, 20P05 Let $Σ^p_g$ denote a surface of genus $g$ and with $p$ punctures. Our main result is that the fraction of degree $n$ covers of $Σ^p_g$ which have the Putman-Wieland property tends to $1$ as $n\to \infty$. In addition, we show that the monodromy of a random cover of $Σ^p_g$ is asymptotically almost surely tangle free. |
| title | Tangle free permutations and the Putman-Wieland property of Random covers |
| topic | Geometric Topology Metric Geometry Primary 20H10, 20P05 |
| url | https://arxiv.org/abs/2402.19018 |