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3-braid knots do not admit purely cosmetic surgeries
Published 14 May 2020 in math.GT | (2005.07278v2)
Abstract: A pair of surgeries on a knot is called purely cosmetic if the pair of resulting 3-manifolds are homeomorphic as oriented manifolds. Using recent work of Hanselman, we show that (nontrivial) knots which arise as the closure of a 3-stranded braid do not admit any purely cosmetic surgeries.
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