We show that, for any integers, [Formula: see text] and [Formula: see text], there exists a link in [Formula: see text] such that its complement has a genus [Formula: see text] Heegaard splitting with distance [Formula: see text].

中文翻译：

---

S3中链路补码的Heegaard距离

我们证明，对于任何整数，[Formula: see text] 和 [Formula: see text]，在 [Formula: see text] 中存在一个链接，使得它的补码有一个属 [Formula: see text] Heegaard split with distance [公式：见正文]。