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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.17854 |
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| _version_ | 1866914034783092736 |
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| author | Marian, Mihai |
| author_facet | Marian, Mihai |
| contents | We prove a conjecture about the concordance invariant $\vartheta$, defined in a recent paper by Lewark and Zibrowius. This result simplifies the relation between $\vartheta$ and Rasmussen's $s$-invariant. The proof relies on Bar-Natan's tangle version of Khovanov homology or, more precisely, on its distillation in the case of 4-ended tangles into the immersed curve theory of Kotelskiy-Watson-Zibrowius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Remark on the Lewark-Zibrowius Invariant Marian, Mihai Geometric Topology We prove a conjecture about the concordance invariant $\vartheta$, defined in a recent paper by Lewark and Zibrowius. This result simplifies the relation between $\vartheta$ and Rasmussen's $s$-invariant. The proof relies on Bar-Natan's tangle version of Khovanov homology or, more precisely, on its distillation in the case of 4-ended tangles into the immersed curve theory of Kotelskiy-Watson-Zibrowius. |
| title | A Remark on the Lewark-Zibrowius Invariant |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2503.17854 |