Splitting links by integer homology spheres
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915509997404160 |
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| author | Golla, Marco Marengon, Marco |
| author_facet | Golla, Marco Marengon, Marco |
| contents | For every $n \ge 3$, we construct 2-component links in $S^{n+1}$ that are a split by an integer homology $n$-sphere, but not by $S^n$. In the special case $n=3$, i.e. that of 2-links in $S^4$, we produce an infinite family of links $L_\ell$ and of integer homology spheres $Y_\ell$ such that the link $L_\ell$ is (topologically or smoothly) split by $Y_\ell$ and by no other integer homology sphere in the family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Splitting links by integer homology spheres Golla, Marco Marengon, Marco Geometric Topology 57K45 (Primary), 57K18 (Secondary) For every $n \ge 3$, we construct 2-component links in $S^{n+1}$ that are a split by an integer homology $n$-sphere, but not by $S^n$. In the special case $n=3$, i.e. that of 2-links in $S^4$, we produce an infinite family of links $L_\ell$ and of integer homology spheres $Y_\ell$ such that the link $L_\ell$ is (topologically or smoothly) split by $Y_\ell$ and by no other integer homology sphere in the family. |
| title | Splitting links by integer homology spheres |
| topic | Geometric Topology 57K45 (Primary), 57K18 (Secondary) |
| url | https://arxiv.org/abs/2403.00064 |