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Showing 2019 · math.GTShow all
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math.GT2019
Alternating knots with large boundary slope diameter
Masaharu Ishikawa, Thomas W. Mattman, Kazuya Namiki +1
We show that, for an alternating knot, the ratio of the diameter of the set of boundary slopes to the crossing number can be arbitrarily large.
math.GT2019★ 6 cited
Two-bridge knots admit no purely cosmetic surgeries
Kazuhiro Ichihara, In Dae Jong, Thomas W. Mattman +1
We show that two-bridge knots and alternating fibered knots admit no purely cosmetic surgeries, i.e., no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are…