Compact Embedded Minimal Surfaces of Positive Genus Without Area Bounds

Let M³ be a three-manifold (possibly with boundary). We will show that, for any positive integer , there exists an open nonempty set of metrics on M (in the C²-topology on the space of metrics on M) for each of which there are compact embedded stable minimal surfaces of genus with arbitrarily large area. This extends a result of Colding and Minicozzi, who proved the case =1.