Virtualized Delta moves for virtual knots and links
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914649101828096 |
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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 introduce a local deformation called the virtualized $Δ$-move for virtual knots and links. We prove that the virtualized $Δ$-move is an unknotting operation for virtual knots. Furthermore we give a necessary and sufficient condition for two virtual links to be related by a finite sequence of virtualized $Δ$-moves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Virtualized Delta moves for virtual knots and links Nakamura, Takuji Nakanishi, Yasutaka Satoh, Shin Wada, Kodai Geometric Topology Primary 57K12, Secondary 57K10 We introduce a local deformation called the virtualized $Δ$-move for virtual knots and links. We prove that the virtualized $Δ$-move is an unknotting operation for virtual knots. Furthermore we give a necessary and sufficient condition for two virtual links to be related by a finite sequence of virtualized $Δ$-moves. |
| title | Virtualized Delta moves for virtual knots and links |
| topic | Geometric Topology Primary 57K12, Secondary 57K10 |
| url | https://arxiv.org/abs/2401.12506 |