A criterion for almost alternating links to be non-splittable

Tatsuya Tsukamoto

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A criterion for almost alternating links to be non-splittable

Tatsuya Tsukamoto

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Abstract

We give a sufficient condition for an almost alternating link diagram to represent a non-splittable link. The main theorem gives us a way to see if a given almost alternating link diagram represents a splittable link without increasing numbers of crossings of diagrams in the process. Moreover, we show that almost alternating links with more than two components are non-trivial.

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Tatsuya Tsukamoto. 1999-05-27. A criterion for almost alternating links to be non-splittable. https://arxiv.org/abs/math/9905172

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