Alternating links and left-orderability

Details Alternating links and left-orderability Alternating links and left-orderability

2011-07-26

arxiv.org/abs/1107.5232v1

Mathematics

Geometric Topology

3 pages, 1 figure

Scientific paper

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.

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