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The Topological String on the Quintic to Genus 83 and the Rank-Two D4-D2-D0 Indices
We compute quintic Gopakumar-Vafa invariants for genera 2-83 and degrees up to 44 by integrating the holomorphic anomaly equations. Under rank-one modularity for the required Gieseker invariants and rank-two charge conjugation, a coupled system of boundary and surplus wall-crossing equations fixes t
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