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Systolic growth in every genus

Nihar Gargava

Palomar Registrypalomar/PALOMAR-2026-10-18-000028Oct 18, 2026math.DGscore 0

This repository introduces and formally proves the lower bound 4/3 for the limit inferior of the supremal hyperbolic systole in genus g divided by log g. At present, this formalization is the theorem's only public statement and proof. This metadata records the result as an original proof; the published papers below are cited only as background for ingredients. The proof combines arithmetic hyperbolic surfaces, uniform representations by comparable prime cubes, and surface gluing followed by a smooth conformal change to curvature minus one that preserves the systole lower bound.

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