| Résume | According to Mirror Symmetry, the generating function of curve counting Gromov-Witten invariants of a Calabi-Yau threefold is conjectured to equal the integral over the positive real locus of a mirror-dual family of Calabi-Yau threefolds. In this joint work with Siebert, we prove that this conjecture holds as stated in the case of the canonical bundle of the projective plane with its mirror family constructed via the intrinsic mirror construction of Gross-Siebert. A key feature of the proof is that at no point do we calculate any invariants. Instead, we work with the punctured Gromov-Witten invariants that govern the intrinsic mirror construction. |
