The realization problem for noninteger Seifert fibered surgeries

Abstract

In this section we justify the equivalence of Conjecture 1.2 and Conjecture 1.3. We also note that Conjecture 1.2 is true for q 9. Lemma 2.1 Let K be a knot which is not a torus knot or a cable of a torus knot with a Seifert fibered surgery S 3 p=q .K/ for some q 2. Then there is a hyperbolic knot K 0 and q 0 q such that S 3 p=q .K/ Š S 3 p=q 0 .K 0 /.