= Slit connected sum of translation tori
{title2=$g=2,\quad \omega\in\mathcal H(1,1)$}
Cut equal straight slits in two <translation surfaces> of <genus> one and cross-glue their banks by translation. The <connected sum of oriented manifolds> has <genus> two and two cone points of angle $4\pi$, hence two simple zeros of its <holomorphic one-form>. Choosing one <torus> of side $\delta$ and a slit of length $\delta^2$ creates a flat-small handle without forcing its generator to have small <extremal length>.
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