English

A meridian lemma for fully alternating links in thickened surfaces

Geometric Topology 2022-03-15 v1

Abstract

Menasco showed that a closed surface in the complement of a non-split prime alternating link in S3S^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.

Keywords

Cite

@article{arxiv.2203.06858,
  title  = {A meridian lemma for fully alternating links in thickened surfaces},
  author = {Wei Lin},
  journal= {arXiv preprint arXiv:2203.06858},
  year   = {2022}
}

Comments

9 pages, 5 figures