Left-orderable Fundamental Group and Dehn Surgery on the Knot 52
- 14 June 2014
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 57 (2), 310-317
- https://doi.org/10.4153/cmb-2013-030-2
Abstract
We show that the manifold resulting from r-surgery on the knot 52, 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 ≤ r ≤ 4.Keywords
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This publication has 3 references indexed in Scilit:
- The classification of exceptional Dehn surgeries on 2-bridge knotsCommunications in Analysis and Geometry, 2001
- Incompressible surfaces in 2-bridge knot complementsInventiones Mathematicae, 1985
- NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPSThe Quarterly Journal of Mathematics, 1984