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- W4366551625 abstract "This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential $n$-punctured tori in the complement of a hyperbolic knot in $S^3$. For $n=1$, Valdez-S'anchez showed that there are at most five non-isotopic Seifert tori in the exterior of a hyperbolic knot. In this paper, we address the case $n=2$. We show that there are at most six non-isotopic, nested, essential 2-holed tori in the complement of every hyperbolic knot." @default.
- W4366551625 created "2023-04-22" @default.
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- W4366551625 date "2023-04-18" @default.
- W4366551625 modified "2023-10-16" @default.
- W4366551625 title "A bound on the number of twice-punctured tori in a knot exterior" @default.
- W4366551625 doi "https://doi.org/10.48550/arxiv.2304.09312" @default.
- W4366551625 hasPublicationYear "2023" @default.
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