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Two-bridge knots admit no purely cosmetic surgeries


Speaker: Thomas Mattman, California State University, Chico
Location: Zoom Zoom
Start time: Tue, Mar 1 2022, 1:10PM

(Joint with Ichihara, Jong, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of knots as well as the SL(2,C)-Casson invariant.

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