A knot is said to be slice if it bounds a smooth properly embedded disk in the 4-ball. We demonstrate that the Conway knot, 11n34 in the Rolfsen tables, is not slice. This completes the classification of slice knots under 13 crossings, and gives the first example of a non-slice knot which is both topologically slice and a positive mutant of a slice knot.

中文翻译：

---

康威结不是切片

如果一个结在 4 球中绑定了一个平滑的正确嵌入的圆盘，那么它被称为切片。我们证明了 Rolfsen 表中的 Conway 结 11n34 不是切片。这样就完成了 13 个交叉下的切片结的分类，并给出了非切片结的第一个例子，它既是拓扑切片又是切片结的正突变体。