Hyperbolic knots with three toroidal Dehn surgeries
Geometric Topology
2007-05-28 v1
Abstract
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed three manifolds containing incompressible tori. We show that there exist infinitely many hyperbolic knots which attain the conjectural maximum number. Interestingly, those surgeries correspond to consecutive integers.
Cite
@article{arxiv.0705.3715,
title = {Hyperbolic knots with three toroidal Dehn surgeries},
author = {Masakazu Teragaito},
journal= {arXiv preprint arXiv:0705.3715},
year = {2007}
}