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Boundary slopes (nearly) bound cyclic slopes

Thomas W. Mattman
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Abstract

Let r_m and r_M be the least and greatest finite boundary slopes of a hyperbolic knot K in S^3. We show that any cyclic surgery slopes of K must lie in the interval (r_m - 1/2, r_M + 1/2).

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Thomas W. Mattman. 2005-07-24. Boundary slopes (nearly) bound cyclic slopes. https://doi.org/10.2140/agt.2005.5.741

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