Knot invariants from representations of braids by automorphisms of a free group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908407634591744 |
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| author | Shpilrain, Vladimir |
| author_facet | Shpilrain, Vladimir |
| contents | We describe an alternative way of computing Alexander polynomials of knots/links, based on the Artin representation of the corresponding braids by automorphisms of a free group. Then we apply the same method to other representations of braid groups discovered by Wada and compare the corresponding isotopic invariants to Alexander polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Knot invariants from representations of braids by automorphisms of a free group Shpilrain, Vladimir Geometric Topology Group Theory We describe an alternative way of computing Alexander polynomials of knots/links, based on the Artin representation of the corresponding braids by automorphisms of a free group. Then we apply the same method to other representations of braid groups discovered by Wada and compare the corresponding isotopic invariants to Alexander polynomials. |
| title | Knot invariants from representations of braids by automorphisms of a free group |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2505.22403 |