The $(2,1)$-cable of the figure-eight knot is not smoothly slice
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866929479793770496 |
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| author | Dai, Irving Kang, Sungkyung Mallick, Abhishek Park, JungHwan Stoffregen, Matthew |
| author_facet | Dai, Irving Kang, Sungkyung Mallick, Abhishek Park, JungHwan Stoffregen, Matthew |
| contents | We prove that the $(2,1)$-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_14187 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The $(2,1)$-cable of the figure-eight knot is not smoothly slice Dai, Irving Kang, Sungkyung Mallick, Abhishek Park, JungHwan Stoffregen, Matthew Geometric Topology 57K18, 57M12 We prove that the $(2,1)$-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball. |
| title | The $(2,1)$-cable of the figure-eight knot is not smoothly slice |
| topic | Geometric Topology 57K18, 57M12 |
| url | https://arxiv.org/abs/2207.14187 |