Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917404617998336 |
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| author | Iida, Nobuo |
| author_facet | Iida, Nobuo |
| contents | We give Bennequin-Plamenevskaya-Shumakovich type lower bounds for the concordance invariant $s^{\#}$ introduced by Kronheimer and Mrowka. The proof is a consequence of computations for torus knots and the cobordism inequality of $s^{\#}$ due to Gong, combined with well-known arguments used for slice-torus invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00415 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant Iida, Nobuo Geometric Topology We give Bennequin-Plamenevskaya-Shumakovich type lower bounds for the concordance invariant $s^{\#}$ introduced by Kronheimer and Mrowka. The proof is a consequence of computations for torus knots and the cobordism inequality of $s^{\#}$ due to Gong, combined with well-known arguments used for slice-torus invariants. |
| title | Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2309.00415 |