A topological characterization of toroidally alternating knots
Geometric Topology
2016-08-02 v1
Abstract
We extend Howie's characterization of alternating knots to give a topological characterization of toroidally alternating knots, which were defined by Adams. We provide necessary and sufficient conditions for a knot to be toroidally alternating. We also give a topological characterization of almost-alternating knots which is different from Ito's recent characterization.
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Cite
@article{arxiv.1608.00521,
title = {A topological characterization of toroidally alternating knots},
author = {Seungwon Kim},
journal= {arXiv preprint arXiv:1608.00521},
year = {2016}
}
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19 pages