Virtualized Delta, sharp, and pass moves for oriented virtual knots and links
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910306491432960 |
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| author | Nakamura, Takuji Nakanishi, Yasutaka Satoh, Shin Wada, Kodai |
| author_facet | Nakamura, Takuji Nakanishi, Yasutaka Satoh, Shin Wada, Kodai |
| contents | We study virtualized Delta, sharp, and pass moves for oriented virtual links, and give necessary and sufficient conditions for two oriented virtual links to be related by the local moves. In particular, they are unknotting operations for oriented virtual knots. We provide lower bounds for the unknotting numbers and prove that they are best possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Virtualized Delta, sharp, and pass moves for oriented virtual knots and links Nakamura, Takuji Nakanishi, Yasutaka Satoh, Shin Wada, Kodai Geometric Topology Primary 57K12, Secondary 57K10 We study virtualized Delta, sharp, and pass moves for oriented virtual links, and give necessary and sufficient conditions for two oriented virtual links to be related by the local moves. In particular, they are unknotting operations for oriented virtual knots. We provide lower bounds for the unknotting numbers and prove that they are best possible. |
| title | Virtualized Delta, sharp, and pass moves for oriented virtual knots and links |
| topic | Geometric Topology Primary 57K12, Secondary 57K10 |
| url | https://arxiv.org/abs/2401.13195 |