High distance knots
classification
🧮 math.GT
keywords
distancehighknotsapplicationarbitrarilyconstructdecompositionfind
read the original abstract
We construct knots in S^3 with Heegaard splittings of arbitrarily high distance, in any genus. As an application, for any positive integers t and b we find a tunnel number t knot in the three-sphere which has no (t,b)-decomposition.
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