Alternating links and left-orderability
Geometric Topology
2011-07-27 v1 Group Theory
Abstract
Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering iff L is an unlink. This result is originally due to Boyer-Gordon-Watson.
Cite
@article{arxiv.1107.5232,
title = {Alternating links and left-orderability},
author = {Joshua Evan Greene},
journal= {arXiv preprint arXiv:1107.5232},
year = {2011}
}
Comments
3 pages, 1 figure