The classification of links up to clasp-pass moves
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912466915557376 |
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| author | Meilhan, Jean-Baptiste Yasuhara, Akira |
| author_facet | Meilhan, Jean-Baptiste Yasuhara, Akira |
| contents | We give a complete classification of links up to clasp-pass moves, which coincides with Habiro's $C_3$-equivalence. We also classify links up to band-pass and band-# moves, which are versions of the usual pass- and #-move, respectively, where each pair of parallel strands belong to the same component. This recovers and generalizes widely a number of partial results in the study of these local moves. The proofs make use of clasper theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The classification of links up to clasp-pass moves Meilhan, Jean-Baptiste Yasuhara, Akira Geometric Topology We give a complete classification of links up to clasp-pass moves, which coincides with Habiro's $C_3$-equivalence. We also classify links up to band-pass and band-# moves, which are versions of the usual pass- and #-move, respectively, where each pair of parallel strands belong to the same component. This recovers and generalizes widely a number of partial results in the study of these local moves. The proofs make use of clasper theory. |
| title | The classification of links up to clasp-pass moves |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2407.15437 |