Brunnian links of 3-balls in the 4-sphere
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914375982383104 |
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| author | Kim, Seungwon Nahm, Gheehyun Tatsuoka, Alison |
| author_facet | Kim, Seungwon Nahm, Gheehyun Tatsuoka, Alison |
| contents | For each integer $n\ge 2$, we construct infinitely many $n$-component Brunnian links of 3-balls in $S^4$. Our main tool is the third author's result on the existence of splitting spheres for the trivial two-component link of $2$-spheres in $S^{4}$; we also give a new proof of this. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06554 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Brunnian links of 3-balls in the 4-sphere Kim, Seungwon Nahm, Gheehyun Tatsuoka, Alison Geometric Topology 57K45 For each integer $n\ge 2$, we construct infinitely many $n$-component Brunnian links of 3-balls in $S^4$. Our main tool is the third author's result on the existence of splitting spheres for the trivial two-component link of $2$-spheres in $S^{4}$; we also give a new proof of this. |
| title | Brunnian links of 3-balls in the 4-sphere |
| topic | Geometric Topology 57K45 |
| url | https://arxiv.org/abs/2603.06554 |