Hyperbolic knots with three toroidal Dehn surgeries

Details Hyperbolic knots with three toroidal Dehn surgeries Hyperbolic knots with three toroidal Dehn surgeries

2007-05-25

arxiv.org/abs/0705.3715v1

Mathematics

Geometric Topology

10 pages, 10 figures

Scientific paper

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.

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