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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.07510 |
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| _version_ | 1866929501675454464 |
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| author | Kang, Sungkyung |
| author_facet | Kang, Sungkyung |
| contents | We construct an example of a cork that remains exotic after taking a connected sum with $S^2 \times S^2$. Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after taking a connected sum with $S^2 \times S^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07510 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | One stabilization is not enough for contractible 4-manifolds Kang, Sungkyung Geometric Topology 57R55, 57R58 We construct an example of a cork that remains exotic after taking a connected sum with $S^2 \times S^2$. Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after taking a connected sum with $S^2 \times S^2$. |
| title | One stabilization is not enough for contractible 4-manifolds |
| topic | Geometric Topology 57R55, 57R58 |
| url | https://arxiv.org/abs/2210.07510 |