Finite Dehn surgeries on knots in S3
Finite Dehn surgeries on knots in S3
We show that on a hyperbolic knot K in S 3 , the distance between any two finite surgery slopes is at most 2, and consequently, there are at most three nontrivial finite surgeries.Moreover, in the case where K admits three nontrivial finite surgeries, K must be the pretzel knot …