Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant
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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_ | 1866908562536529920 |
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| author | Ichihara, Kazuhiro Jong, In Dae |
| author_facet | Ichihara, Kazuhiro Jong, In Dae |
| contents | We study cosmetic surgeries on a knot in a homology sphere. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredient is the rational surgery formula of the Casson--Walker invariant for 2-component links in the 3-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant Ichihara, Kazuhiro Jong, In Dae Geometric Topology We study cosmetic surgeries on a knot in a homology sphere. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredient is the rational surgery formula of the Casson--Walker invariant for 2-component links in the 3-sphere. |
| title | Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2506.02682 |