Toroidal droplets of nematic liquid crystal: Generation, stabilization and twist

We generate nematic droplets with handles and stabilize them against surface-tension-driven instabilities using a continuous phase with a yield stress. For toroidal droplets, the nematic spontaneously twists; this happens for all, slender and fat tori. The addition of handles is accompanied by the presence of defects in the order; there are two -1 defects per additional handle located in regions with saddle geometry.