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We construct a new family of high genus examples of free boundary minimalsurfaces in the Euclidean unit 3-ball by desingularizing the intersection of acoaxial pair of a critical catenoid and an equatorial disk. The surfaces areconstructed by singular perturbation methods and have three boundarycomponents. They are the free boundary analogue of the Costa-Hoffman-Meekssurfaces and the surfaces constructed by Kapouleas by desingularizing coaxialcatenoids and planes. It is plausible that the minimal surfaces we constructedhere are the same as the ones obtained recently by Ketover using the min-maxmethod.

Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk