On the Volume Density Spectrum of Fully Augmented Links
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929457429741568 |
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| author | Kwon, Alice Tham, Ying Hong |
| author_facet | Kwon, Alice Tham, Ying Hong |
| contents | For a hyperbolic fully augmented link in $S^3$, its \emph{FAL volume density} is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densities is dense in $[2\voct, 10\vtet)$, but discrete in $[\voct,2\voct)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Volume Density Spectrum of Fully Augmented Links Kwon, Alice Tham, Ying Hong Geometric Topology Primary 57K10, Secondary 57K32 For a hyperbolic fully augmented link in $S^3$, its \emph{FAL volume density} is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densities is dense in $[2\voct, 10\vtet)$, but discrete in $[\voct,2\voct)$. |
| title | On the Volume Density Spectrum of Fully Augmented Links |
| topic | Geometric Topology Primary 57K10, Secondary 57K32 |
| url | https://arxiv.org/abs/2408.06565 |