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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2507.16747 |
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| _version_ | 1866914257913774080 |
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| author | Hughes, James Ma, Jiajie |
| author_facet | Hughes, James Ma, Jiajie |
| contents | We determine when a Legendrian quasipositive 3-braid closure in standard contact $\mathbb{R}^3$ admits an orientable or non-orientable exact Lagrangian filling. Our main result provides evidence for the orientable fillability conjecture of Hayden and Sabloff, showing that a 3-braid closure is orientably exact Lagrangian fillable if and only if it is quasipositive and the HOMFLY bound on its maximum Thurston-Bennequin number is sharp. Of possible independent interest, we construct explicit Legendrian representatives of quasipositive 3-braid closures with maximum Thurston-Bennequin number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Lagrangian fillability of 3-braid closures Hughes, James Ma, Jiajie Symplectic Geometry 53D12, 53D10, 57K10 We determine when a Legendrian quasipositive 3-braid closure in standard contact $\mathbb{R}^3$ admits an orientable or non-orientable exact Lagrangian filling. Our main result provides evidence for the orientable fillability conjecture of Hayden and Sabloff, showing that a 3-braid closure is orientably exact Lagrangian fillable if and only if it is quasipositive and the HOMFLY bound on its maximum Thurston-Bennequin number is sharp. Of possible independent interest, we construct explicit Legendrian representatives of quasipositive 3-braid closures with maximum Thurston-Bennequin number. |
| title | Exact Lagrangian fillability of 3-braid closures |
| topic | Symplectic Geometry 53D12, 53D10, 57K10 |
| url | https://arxiv.org/abs/2507.16747 |