Surgeries on knots and tight contact structures
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912634337492992 |
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| author | Li, Zhenkun Wan, Shunyu Zhou, Hugo |
| author_facet | Li, Zhenkun Wan, Shunyu Zhou, Hugo |
| contents | For any knot $K$ in $S^3$ and any positive rational $r$, we show that smooth $(-r)$-surgery on $K$ always admits a tight contact structure. More specifically, the tightness is detected by the non-vanishing Heegaard Floer contact invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Surgeries on knots and tight contact structures Li, Zhenkun Wan, Shunyu Zhou, Hugo Geometric Topology Symplectic Geometry For any knot $K$ in $S^3$ and any positive rational $r$, we show that smooth $(-r)$-surgery on $K$ always admits a tight contact structure. More specifically, the tightness is detected by the non-vanishing Heegaard Floer contact invariant. |
| title | Surgeries on knots and tight contact structures |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2510.05294 |