Involutions of alternating links
Geometric Topology
2021-10-12 v2
Abstract
Let be an alternating prime non-split link in . We use the category of flypes between reduced alternating diagrams for to classify involutions on . As consequences, we show that the quotient of an alternating periodic link is alternating, and that all freely 2-periodic alternating links have an even number of components.
Keywords
Cite
@article{arxiv.2002.08191,
title = {Involutions of alternating links},
author = {Keegan Boyle},
journal= {arXiv preprint arXiv:2002.08191},
year = {2021}
}
Comments
Updated to agree with the version accepted by Proceedings of the AMS. 15 pages, 9 figures. arXiv admin note: text overlap with arXiv:1906.04308