Positive braid closures and taut foliations
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915808955858944 |
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| author | Nie, Zipei |
| author_facet | Nie, Zipei |
| contents | We study taut foliations on the complements of non-split positive braid closures in $S^3$. If $L$ is such a link with components $L_1,\ldots,L_n$ and at least one component is not the unknot, then the Dehn surgery along a multislope $(s_1,\ldots,s_n)\in\mathbb{Q}^n$ satisfying $s_i<2g(L_i)-1$ for $i=1,2,\ldots, n$ yields a non-L-space that admits a co-oriented taut foliation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17863 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Positive braid closures and taut foliations Nie, Zipei Geometric Topology We study taut foliations on the complements of non-split positive braid closures in $S^3$. If $L$ is such a link with components $L_1,\ldots,L_n$ and at least one component is not the unknot, then the Dehn surgery along a multislope $(s_1,\ldots,s_n)\in\mathbb{Q}^n$ satisfying $s_i<2g(L_i)-1$ for $i=1,2,\ldots, n$ yields a non-L-space that admits a co-oriented taut foliation. |
| title | Positive braid closures and taut foliations |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.17863 |