Alternating links and left-orderability

Greene, Joshua

doi:10.1090/proc/13704

Alternating links and left-orderability
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by Joshua Evan Greene PDF

Proc. Amer. Math. Soc. 146 (2018), 2707-2709 Request permission

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.

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