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- W2894664863 abstract "Conjecturally, the only knots in $S^3$ with non-integer surgeries producing Seifert fibered spaces are torus knots and cables of torus knots. In this paper, we make progress on the associated realization problem. Let $Y$ be a small Seifert fibered space arising by $p/q$-surgery on a knot in $S^3$, where $p/q$ is positive and a non-integer. Let $e$ denote the weight of the central vertex in the minimal star-shaped plumbing that $Y$ bounds. We show that if $eleq -2$ or $egeq 3$, then $Y$ can be obtained by $p/q$-surgery on a torus knot or a cable of a torus knot." @default.
- W2894664863 created "2018-10-12" @default.
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- W2894664863 date "2023-06-14" @default.
- W2894664863 modified "2023-09-30" @default.
- W2894664863 title "The realization problem for noninteger Seifert fibered surgeries" @default.
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- W2894664863 doi "https://doi.org/10.2140/agt.2023.23.1501" @default.
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