The (2,1)-cable of the figure-eight knot is not smoothly slice
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.
| Hauptverfasser: | , , , , |
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| Format: | Journal article |
| Sprache: | English |
| Veröffentlicht: |
Springer
2024
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| _version_ | 1826314940122660864 |
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| author | Dai, I Kang, S Mallick, A Park, J Stoffregen, M |
| author_facet | Dai, I Kang, S Mallick, A Park, J Stoffregen, M |
| author_sort | Dai, I |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-12-09T03:15:00Z |
| format | Journal article |
| id | oxford-uuid:a5a7d1f7-9092-40c6-88b9-364890e6849e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:15:00Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:a5a7d1f7-9092-40c6-88b9-364890e6849e2024-10-16T16:41:32ZThe (2,1)-cable of the figure-eight knot is not smoothly sliceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a5a7d1f7-9092-40c6-88b9-364890e6849eEnglishSymplectic ElementsSpringer2024Dai, IKang, SMallick, APark, JStoffregen, MWe 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. |
| spellingShingle | Dai, I Kang, S Mallick, A Park, J Stoffregen, M The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title | The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title_full | The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title_fullStr | The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title_full_unstemmed | The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title_short | The (2,1)-cable of the figure-eight knot is not smoothly slice |
| title_sort | 2 1 cable of the figure eight knot is not smoothly slice |
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