The index and finiteness conjecture for embedded minimal surfaces in the three-sphere
Let γ∈N\gamma\in\mathbb{N}γ∈N, and let Σ⊂S3\Sigma\subset\mathbb{S}^3Σ⊂S3 be a closed embedded minimal surface of genus γ\gammaγ. Denote its Morse index by Ind(Σ)\operatorname{Ind}(\Sigma)Ind(Σ), and l…