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Left-orderable Fundamental Group and Dehn Surgery on the Knot 52
Published online by Cambridge University Press: 20 November 2018
Abstract
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 $0\,\le \,r\,\le \,4$.
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- 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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