3-braid knots do not admit purely cosmetic surgeries
arXiv:2005.07278 · doi:10.1007/s10474-020-01129-z
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.
10 pages, 3 figures; updated to avoid dependence on potentially unverified computational results