The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains

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Tobias H. Colding

Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, United States and Department of Mathematics, Princeton University, Princeton, NJ 08540, United States

William P. Minicozzi II

Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, United States