Distinguishing some genus one knots using finite quotients

Tamunonye Cheetham-West

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arXiv · 2210.16426

Distinguishing some genus one knots using finite quotients

Tamunonye Cheetham-West

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Abstract

We give a criterion for distinguishing a prime knot $K$ in $S^3$ from every other knot in $S^3$ using the finite quotients of $π_1(S^3\setminus K)$. Using recent work of Baldwin-Sivek, we apply this criterion to the hyperbolic knots $5_2$, $15n_{43522}$, and the three-strand pretzel knots $P(-3,3,2n+1)$ for every integer $n$.

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BibTeX RIS

Tamunonye Cheetham-West. 2022-11-11. Distinguishing some genus one knots using finite quotients. https://arxiv.org/abs/2210.16426

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