Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees

Tetsuya Ito

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arXiv · 2410.12344

Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees

Tetsuya Ito

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Abstract

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 $w$.

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BibTeX RIS

Tetsuya Ito. 2024-10-16. Knots whose braided satellite have the same HOMFLY polynomial up to given $z$-degrees. https://arxiv.org/abs/2410.12344

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