Prime alternating knots of minimal warping degree two

Ayaka Shimizu

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arXiv · 2004.14520

Prime alternating knots of minimal warping degree two

Ayaka Shimizu

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Abstract

The warping degree of an oriented knot diagram is the minimal number of crossing changes which are required to obtain a monotone knot diagram from the diagram. The minimal warping degree of a knot is the minimal value of the warping degree for all oriented minimal diagrams of the knot. In this paper, all prime alternating knots with minimal warping degree two are determined.

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Ayaka Shimizu. 2020-04-30. Prime alternating knots of minimal warping degree two. https://arxiv.org/abs/2004.14520

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