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arxiv: math/0510496 · v2 · submitted 2005-10-24 · 🧮 math.GT

Boundary slope diameter and crossing number of 2-bridge knots

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keywords knotsboundarybridgecrossingdiameternumberconjectureconstitutes
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We prove that for 2-bridge knots, the diameter, D, of the set of boundary slopes is twice the crossing number, c. This constitutes partial verification of a conjecture that, for all knots in S^3, D is at most 2c.

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