A topological characterization of toroidally alternating knots

Seungwon Kim

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arXiv · 1608.00521

A topological characterization of toroidally alternating knots

Seungwon Kim

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Abstract

We extend Howie's characterization of alternating knots to give a topological characterization of toroidally alternating knots, which were defined by Adams. We provide necessary and sufficient conditions for a knot to be toroidally alternating. We also give a topological characterization of almost-alternating knots which is different from Ito's recent characterization.

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Seungwon Kim. 2016-08-01. A topological characterization of toroidally alternating knots. https://arxiv.org/abs/1608.00521

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