Alternating distances of knots and links

Adam M. Lowrance

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arXiv · 1406.7039

Alternating distances of knots and links

Adam M. Lowrance

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Abstract

An alternating distance is a link invariant that measures how far away a link is from alternating. We study several alternating distances and demonstrate that there exist families of links for which the difference between certain alternating distances is arbitrarily large. We also show that two alternating distances, the alternation number and the alternating genus, are not comparable.

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BibTeX RIS

Adam M. Lowrance. 2014-06-26. Alternating distances of knots and links. https://arxiv.org/abs/1406.7039

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