Abstract
We construct the first examples of complete, properly embedded minimal surfaces in with finite total curvature and positive genus. These are constructed by gluing copies of horizontal catenoids or other nondegenerate summands. We also establish that every horizontal catenoid is nondegenerate.
Citation
Francisco Martín. Rafe Mazzeo. M Magdalena Rodríguez. "Minimal surfaces with positive genus and finite total curvature in $\mathbb{H}^2 \times \mathbb{R}$." Geom. Topol. 18 (1) 141 - 177, 2014. https://doi.org/10.2140/gt.2014.18.141
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