Gromov–Witten invariants of Fano hypersurfaces, revisited

The goal of this paper is to give an efficient computation of the genus zero three-point Gromov–Witten invariants of Fano hypersurfaces, starting from the Picard–Fuchs equation. This simplifies and to some extent explains the original computations of Jinzenji. The method involves solving a gauge-theoretic differential equation, and our main result is that this equation has a unique solution.