Involutions of knots that fix unknotting tunnels
classification
🧮 math.GT
keywords
knottunnelunknottingadmitsfixesinvolutioninvolutionsknots
read the original abstract
Let K be a knot that has an unknotting tunnel tau. We prove that K admits a strong involution that fixes tau pointwise if and only if K is a two-bridge knot and tau its upper or lower tunnel.
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