Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915100284157952 |
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| author | Ito, Tetsuya |
| author_facet | Ito, Tetsuya |
| contents | For a given knot $K$ and $w>0$, we construct infinitely many mutually distinct hyperbolic knots $\{K_i\}$ such that the $P$-satellites of $K$ and $K_i$ have the same HOMFLY polynomial up to given $z$-degrees, for all braided patterns $P$ with winding number less than or equal to $w$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees Ito, Tetsuya Geometric Topology For a given knot $K$ and $w>0$, we construct infinitely many mutually distinct hyperbolic knots $\{K_i\}$ such that the $P$-satellites of $K$ and $K_i$ have the same HOMFLY polynomial up to given $z$-degrees, for all braided patterns $P$ with winding number less than or equal to $w$. |
| title | Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2410.12344 |