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HYPERBOLIC KNOTS WITH THREE TOROIDAL DEHN SURGERIES

MASAKAZU TERAGAITO

Department of Mathematics and Mathematics Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan

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https://doi.org/10.1142/S0218216508006543Cited by:5 (Source: Crossref)

Abstract

It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-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.

Keywords:

AMSC: 57M25, 57M50

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