Every positively curved Riemannian 3-sphere contains an embedded genus-g minimal surface of area at most 2 sigma_1 for every g.
Area esti- mates for high genus Lawson surfaces via DPW
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Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature
Every positively curved Riemannian 3-sphere contains an embedded genus-g minimal surface of area at most 2 sigma_1 for every g.