Left-orderable fundamental group and Dehn surgery on twist knots
classification
🧮 math.GT
math.GR
keywords
fundamentalgroupknotleft-orderablesurgerytwistdehnhyperbolic
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For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ satisfies the inequality $0\le r \le 4$.
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