Index and nullity of minimal surface doublings, I

Nikolaos Kapouleas, Jiahua Zou

We prove that for any large enough $m\in \mathbb{N}$, the genus $\gamma =m+1$ equator-poles minimal surface doubling of the equatorial two-sphere ${\Sigma }^0={\mathbb{S}}_{\mathrm{eq}}^2$ in th…