Classification of unknotting tunnels for two bridge knots
Tsuyoshi Kobayashi
math.GTarXiv:math/9911254
Abstract
In this paper, we show that any unknotting tunnel for a two bridge knot is isotopic to either one of known ones. This together with Morimoto-Sakuma's result gives the complete classification of unknotting tunnels for two bridge knots up to isotopies and homeomorphisms.
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