Arc shift move and region arc shift move for twisted knots
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908817508270080 |
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| author | Mahato, Tumpa Madeti, Prabhakar |
| author_facet | Mahato, Tumpa Madeti, Prabhakar |
| contents | In this paper, we study the unknotting operation for twisted knots, called arc shift move. First, we find a family of twisted knots with arc shift number $n$ for any given $n \in \mathbb{N}$. Then we define a new unknotting operation, called the region arc shift move for twisted knots and find family of twisted knots whose region arc shift number is less than or equal to $n$ for any given $n \in \mathbb{N}$. Later, we explore bounds for region arc shift number and forbidden number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06432 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arc shift move and region arc shift move for twisted knots Mahato, Tumpa Madeti, Prabhakar Geometric Topology 57K10, 57K12 In this paper, we study the unknotting operation for twisted knots, called arc shift move. First, we find a family of twisted knots with arc shift number $n$ for any given $n \in \mathbb{N}$. Then we define a new unknotting operation, called the region arc shift move for twisted knots and find family of twisted knots whose region arc shift number is less than or equal to $n$ for any given $n \in \mathbb{N}$. Later, we explore bounds for region arc shift number and forbidden number. |
| title | Arc shift move and region arc shift move for twisted knots |
| topic | Geometric Topology 57K10, 57K12 |
| url | https://arxiv.org/abs/2602.06432 |