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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.22970 |
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| _version_ | 1866915697862377472 |
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| author | Nakamura, Kazumichi |
| author_facet | Nakamura, Kazumichi |
| contents | The $Δ$-unknotting number for a knot is defined as the minimum number of $Δ$-moves needed to deform the knot into the trivial knot. We determine the $Δ$-unknotting numbers for two-bridge knots of type $C(2β_1, 2β_2, ... , 2β_n)$ and type $C(2β_1, 2β_2, ... , 2β_{n-1}, 2β_n-1)$, where $β_i$ is a positive integer for $1 \leq i \leq n$. We also discuss two-bridge knots whose $Δ$-unknotting number is equal to one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Delta-Unknotting Number for Two-Bridge Knots Nakamura, Kazumichi Geometric Topology The $Δ$-unknotting number for a knot is defined as the minimum number of $Δ$-moves needed to deform the knot into the trivial knot. We determine the $Δ$-unknotting numbers for two-bridge knots of type $C(2β_1, 2β_2, ... , 2β_n)$ and type $C(2β_1, 2β_2, ... , 2β_{n-1}, 2β_n-1)$, where $β_i$ is a positive integer for $1 \leq i \leq n$. We also discuss two-bridge knots whose $Δ$-unknotting number is equal to one. |
| title | Delta-Unknotting Number for Two-Bridge Knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2512.22970 |