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Left-orderable Fundamental Group and Dehn Surgery on the Knot 52

Published online by Cambridge University Press:  20 November 2018

Ryoto Hakamata  and
Masakazu Teragaito
Ryoto Hakamata
Affiliation:
Graduate School of Education, Hiroshima University, Higashi-hiroshima, Japan 739-8524
Masakazu Teragaito
Affiliation:
Department of Mathematics and Mathematics Education, Hiroshima University, Higashi-hiroshima, Japan 739-8524 e-mail: teragai@hiroshima-u.ac.jp
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Abstract

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We show that the manifold resulting from $r$-surgery on the knot ${{5}_{2}}$, which is the two-bridge knot corresponding to the rational number $3/7$, has a left-orderable fundamental group if the slope $r$ satisfies $0\,\le \,r\,\le \,4$.

Keywords

57M2506F15left-orderingDehn surgery
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 2 , 14 June 2014 , pp. 310 - 317
Copyright
Copyright © Canadian Mathematical Society 2014

Footnotes

The second author is partially supported by Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), 22540088.

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