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.References
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Additional Information
- Joshua Evan Greene
- Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467
- MR Author ID: 705169
- Email: joshua.greene@bc.edu
- Received by editor(s): February 13, 2017
- Received by editor(s) in revised form: February 17, 2017
- Published electronically: March 9, 2018
- Additional Notes: This work was supported by NSF CAREER Award DMS-1455132 and an Alfred P. Sloan Research Fellowship.
- Communicated by: David Futer
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2707-2709
- MSC (2010): Primary 57M05, 57M25
- DOI: https://doi.org/10.1090/proc/13704
- MathSciNet review: 3778170