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2014 Left-orderable fundamental groups and Dehn surgery on genus one $2$–bridge knots
Ryoto Hakamata, Masakazu Teragaito
Algebr. Geom. Topol. 14(4): 2125-2148 (2014). DOI: 10.2140/agt.2014.14.2125

Abstract

For any hyperbolic genus-one 2–bridge knot in the 3–sphere, such as any hyperbolic twist knot, we show that the manifold resulting from r–surgery on the knot has left-orderable fundamental group if the slope r lies in some range, which depends on the knot.

Citation

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Ryoto Hakamata. Masakazu Teragaito. "Left-orderable fundamental groups and Dehn surgery on genus one $2$–bridge knots." Algebr. Geom. Topol. 14 (4) 2125 - 2148, 2014. https://doi.org/10.2140/agt.2014.14.2125

Information

Received: 26 December 2012; Revised: 14 November 2013; Accepted: 3 December 2013; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1311.57011
MathSciNet: MR3331611
Digital Object Identifier: 10.2140/agt.2014.14.2125

Subjects:
Primary: 57M25
Secondary: 06F15

Keywords: Dehn surgery , knot , left-orderability

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.14 • No. 4 • 2014
MSP
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