Derives explicit upper bounds on saddle connections with self-intersections for flat spheres using immersed disk geometry under a non-degeneracy assumption on angle defects, with application to billiard trajectory counting.
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Bounds on saddle connections for flat spheres
Derives explicit upper bounds on saddle connections with self-intersections for flat spheres using immersed disk geometry under a non-degeneracy assumption on angle defects, with application to billiard trajectory counting.