Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots
classification
🧮 math.GT
math.GR
keywords
knotfundamentalgenusgroupleft-orderablesurgerybridgedehn
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For any hyperbolic genus one 2-bridge 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 $r$ lies in some range which depends on the knot.
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