论文标题
3架结不接受纯粹的化妆品手术
3-braid knots do not admit purely cosmetic surgeries
论文作者
论文摘要
如果一对产生的3个manifolds是同型歧管，则一对结上的手术被称为纯化妆品。我们使用汉塞尔曼（Hanselman）的最新作品，表明（非平凡的）结（非平地）结，是封闭的3链辫子，并不接受任何纯粹的美容手术。
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.
