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January 2019 Left-orderability for surgeries on twisted torus knots
Anh Tuan Tran
Proc. Japan Acad. Ser. A Math. Sci. 95(1): 6-10 (January 2019). DOI: 10.3792/pjaa.95.6

Abstract

We show that the fundamental group of the 3-manifold obtained by $\frac{p}{q}$-surgery along the $(n-2)$-twisted $(3,3m+2)$-torus knot, with $n,m \ge 1$, is not left-orderable if $\frac{p}{q} \ge 2n + 6m-3$ and is left-orderable if $\frac{p}{q}$ is sufficiently close to 0.

Citation

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Anh Tuan Tran. "Left-orderability for surgeries on twisted torus knots." Proc. Japan Acad. Ser. A Math. Sci. 95 (1) 6 - 10, January 2019. https://doi.org/10.3792/pjaa.95.6

Information

Published: January 2019
First available in Project Euclid: 7 January 2019

zbMATH: 07060336
MathSciNet: MR3896142
Digital Object Identifier: 10.3792/pjaa.95.6

Subjects:
Primary: 57M27
Secondary: 57M05, 57M25

Rights: Copyright © 2019 The Japan Academy

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Vol.95 • No. 1 • January 2019
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