A counterexample to the Bernhard-Jablan unknotting conjecture
Geometric Topology
2018-01-03 v2
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.
Keywords
Cite
@article{arxiv.1705.05985,
title = {A counterexample to the Bernhard-Jablan unknotting conjecture},
author = {Mark Brittenham and Susan Hermiller},
journal= {arXiv preprint arXiv:1705.05985},
year = {2018}
}
Comments
15 pages, 3 figures. Version 2 is a substantial revision and reorganization