A counterexample to the Bernhard-Jablan unknotting conjecture

Mark Brittenham; Susan Hermiller

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arXiv · 1705.05985

A counterexample to the Bernhard-Jablan unknotting conjecture

Mark Brittenham·Susan Hermiller

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Abstract

We show that there is a knot satisfying the property that for each minimal crossing number diagram of the knot and each single crossing of the diagram, changing the crossing results in a diagram for a knot whose unknotting number is at least that of the original knot, thus giving a counterexample to the Bernhard-Jablan Conjecture.

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Mark Brittenham, Susan Hermiller. 2017-05-17. A counterexample to the Bernhard-Jablan unknotting conjecture. https://arxiv.org/abs/1705.05985

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