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Boundary slopes (nearly) bound cyclic slopes


Speaker: Thomas Mattman, CSU Chico
Location: 2112 MSB
Start time: Wed, Jan 25 2006, 4:10PM

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 ${[} r_m - 1/2, r_M + 1/2 {]}$.