Non-smoothable surfaces in the 4-sphere
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913151711182848 |
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| author | Conway, Anthony Galvin, Daniel |
| author_facet | Conway, Anthony Galvin, Daniel |
| contents | We construct examples of non-smoothable surfaces in the $4$-sphere, thereby answering Question 4.32 on the K3 problem list. These surfaces are non-orientable and have knot group of order $2$, thus simultaneously answering Question 4.29(a) on the K3 problem list. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-smoothable surfaces in the 4-sphere Conway, Anthony Galvin, Daniel Geometric Topology We construct examples of non-smoothable surfaces in the $4$-sphere, thereby answering Question 4.32 on the K3 problem list. These surfaces are non-orientable and have knot group of order $2$, thus simultaneously answering Question 4.29(a) on the K3 problem list. |
| title | Non-smoothable surfaces in the 4-sphere |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2603.22202 |