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A meridian lemma for fully alternating links in thickened surfaces (2203.06858v1)
Published 14 Mar 2022 in math.GT
Abstract: Menasco showed that a closed surface in the complement of a non-split prime alternating link in $S3$ 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.