We present the Round Handle Problem (RHP), proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings (GBRs), are slice in a $4$‑manifold $R$ constructed from adding round handles to the four ball. A negative answer would contradict the union of the surgery conjecture and the $s$-cobordism conjecture for $4$‑manifolds with free fundamental group.

中文翻译：

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圆柄问题

我们介绍了Freedman和Krushkal提出的Round Handle Problem（RHP）。它询问是否包含链接的集合（其中包含广义Borromean环（GBR））是在通过向四个球添加圆形手柄而构成的$ 4 $歧管$ R $中。否定的答案将与手术猜想与4美元流形的$ s $ cobordism猜想与自由基本群体的结合相矛盾。