A perturbed Alexander polynomial for singular knots
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909327113060352 |
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| author | Schut, Martine van der Veen, Roland |
| author_facet | Schut, Martine van der Veen, Roland |
| contents | We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previous definitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17657 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A perturbed Alexander polynomial for singular knots Schut, Martine van der Veen, Roland Geometric Topology We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previous definitions. |
| title | A perturbed Alexander polynomial for singular knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2409.17657 |