Hyperbolic, L-space knots and exceptional Dehn surgeries

2014/10/15 by Motegi, Kimihiko, Tohki, Kazushige
#57M25 #57M27 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1410.3975

Abstract

A knot in the 3-sphere is called an L--space knot if it admits a nontrivial Dehn surgery yielding an L--space. Like torus knots and Berge knots, many L--space knots admit also a Seifert fibered surgery. We give a concrete example of a hyperbolic, L-space knot which has no exceptional surgeries, in particular, no Seifert fibered surgeries.

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