All integral slopes can be Seifert fibered slopes for hyperbolic knots
نویسندگان
چکیده
Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3-sphere S? It is conjectured that if r -surgery on a hyperbolic knot in S yields a Seifert fiber space, then r is an integer. We show that for each integer n ∈ Z, there exists a tunnel number one, hyperbolic knot Kn in S 3 such that n-surgery on Kn produces a small Seifert fiber space. AMS Classification 57M25, 57M50
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