On wen knots
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914705655726080 |
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| author | Damiani, Celeste Satoh, Shin |
| author_facet | Damiani, Celeste Satoh, Shin |
| contents | We introduce the notion of wen knots, and prove that the set of wen knots is a proper subset of the set of extended welded knots. Furthermore we prove that the complementary subset consists of welded knots up to horizontal mirror reflections. This allow us to characterise completely extended welded knots by the parity of their number of wens, that we can always reduce to 0 or 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On wen knots Damiani, Celeste Satoh, Shin Geometric Topology Primary 57K12, Secondary 57K45 We introduce the notion of wen knots, and prove that the set of wen knots is a proper subset of the set of extended welded knots. Furthermore we prove that the complementary subset consists of welded knots up to horizontal mirror reflections. This allow us to characterise completely extended welded knots by the parity of their number of wens, that we can always reduce to 0 or 1. |
| title | On wen knots |
| topic | Geometric Topology Primary 57K12, Secondary 57K45 |
| url | https://arxiv.org/abs/2403.03917 |