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Morse index, topology, and ends of minimal surfaces with noncompact free boundary
We establish index estimates for complete two-sided free boundary minimal surfaces in smooth mean-convex domains of $\mathbb{R}^3$ with noncompact boundary. We first prove $3{\rm Ind}_s(Σ)\geq 2g+b-1$, where $g$ and $b$ describe the conformal compactification. We then include all interior ends with
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