Geodesic
Left-orderable fundamental groups and Dehn surgery on genus one 2–bridge knots
Hakamata, Ryoto1 ; Teragaito, Masakazu2
1Graduate School of Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan
2Department of Mathematics and Mathematics Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan
Algebraic and Geometric Topology, Tome 14 (2014) no. 4, pp. 2125-2148
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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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.

DOI : 10.2140/agt.2014.14.2125
Classification : 57M25, 06F15
Keywords: left-orderability, Dehn surgery, knot

Hakamata, Ryoto  1   ; Teragaito, Masakazu  2

1 Graduate School of Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan
2 Department of Mathematics and Mathematics Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan 
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Hakamata, Ryoto; Teragaito, Masakazu. Left-orderable fundamental groups and Dehn surgery on genus one 2–bridge knots. Algebraic and Geometric Topology, Tome 14 (2014) no. 4, pp. 2125-2148. doi: 10.2140/agt.2014.14.2125

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