Boundary slopes (nearly) bound cyclic slopes
classification
🧮 math.GT
keywords
slopesboundarycyclicboundfinitegreatesthyperbolicinterval
read the original 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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