We construct a new family of high genus examples of free boundary minimal surfaces in the Euclidean unit 3-ball by desingularizing the intersection of a coaxial pair of a critical catenoid and an equatorial disc. The surfaces are constructed by singular perturbation methods and have three boundary components. They are the free boundary analogue of the Costa–Hoffman–Meeks surfaces and the surfaces constructed by Kapouleas by desingularizing coaxial catenoids and planes. It is plausible that the minimal surfaces we constructed here are the same as the ones obtained recently by Ketover by using the min-max method.

中文翻译：

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通过临界悬链线和赤道盘的去奇异化，单元三球中的自由边界最小表面

我们通过对临界悬链线和赤道盘的同轴对的相交进行去奇异化，在欧几里德单位 3 球中构建了一个新的自由边界最小表面的高属示例族。表面由奇异微扰方法构建，具有三个边界分量。它们是 Costa-Hoffman-Meeks 曲面和 Kapouleas 通过去奇异化同轴悬链线和平面构建的曲面的自由边界类似物。我们在这里构造的最小曲面与 Ketover 最近使用 min-max 方法获得的曲面相同是合理的。