Strong corks derived from the Akbulut cork
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912919356178432 |
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| author | Mukohara, Tateaki |
| author_facet | Mukohara, Tateaki |
| contents | We prove that the boundaries of the corks introduced by Auckly, Kim, Melvin, and Ruberman in [AKMR14] and by Tange in [Tan16] are strong corks. Furthermore, we prove that any nontrivial linear combination of them yields a strong cork, and we construct a larger family of strong corks that generalizes them. These results rely on the instanton-theoretic invariant introduced by Alfieri, Dai, Mallick, and Taniguchi in [ADMT23]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02230 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong corks derived from the Akbulut cork Mukohara, Tateaki Geometric Topology We prove that the boundaries of the corks introduced by Auckly, Kim, Melvin, and Ruberman in [AKMR14] and by Tange in [Tan16] are strong corks. Furthermore, we prove that any nontrivial linear combination of them yields a strong cork, and we construct a larger family of strong corks that generalizes them. These results rely on the instanton-theoretic invariant introduced by Alfieri, Dai, Mallick, and Taniguchi in [ADMT23]. |
| title | Strong corks derived from the Akbulut cork |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2601.02230 |