A meridian lemma for fully alternating links in thickened surfaces

Wei Lin

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arXiv · 2203.06858

A meridian lemma for fully alternating links in thickened surfaces

Wei Lin

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Abstract

Menasco showed that a closed surface in the complement of a non-split prime alternating link in $S^3$ contains a circle isotopic in the link complement to a meridian of the links. This result is known as the meridian lemma for alternating links. We give a meridian lemma for the class of fully alternating links in the thickened orientable surfaces of positive genus.

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Wei Lin. 2022-03-14. A meridian lemma for fully alternating links in thickened surfaces. https://arxiv.org/abs/2203.06858

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