Linking numbers for periodic tangles
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918150504710144 |
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| author | Kotorii, Yuka Yoshida, Ken'ichi |
| author_facet | Kotorii, Yuka Yoshida, Ken'ichi |
| contents | Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tangles using appropriate motifs and show that they are well-defined and invariant under link-homotopy. Furthermore, we extend the notion to the higher order linking numbers for singly periodic tangles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linking numbers for periodic tangles Kotorii, Yuka Yoshida, Ken'ichi Geometric Topology 57K10 (Primary) 57M10 (Secondary) Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tangles using appropriate motifs and show that they are well-defined and invariant under link-homotopy. Furthermore, we extend the notion to the higher order linking numbers for singly periodic tangles. |
| title | Linking numbers for periodic tangles |
| topic | Geometric Topology 57K10 (Primary) 57M10 (Secondary) |
| url | https://arxiv.org/abs/2509.24568 |