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arXiv · 1705.06520

The number of strings on essential tangle decompositions of a knot can be unbounded

João Miguel Nogueira
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Abstract

We construct an infinite collection of knots with the property that any knot in this family has $n$-string essential tangle decompositions for arbitrarily high $n$.

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João Miguel Nogueira. 2017-05-18. The number of strings on essential tangle decompositions of a knot can be unbounded. https://doi.org/10.2140/agt.2016.16.2535

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