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arxiv: math/0407450 · v4 · submitted 2004-07-27 · 🧮 math.GT

On hyperbolic knots realizing the maximal distance between toroidal surgeries

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keywords distancehyperbolicsurgeriestoroidalknotknotsadmitdetermine
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For a hyperbolic knot in the 3-sphere, the distance between toroidal surgeries is at most 5, except the figure eight knot. In this paper, we determine all hyperbolic knots that admit two toroidal surgeries with distance 5.

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