On Emergent Geometry of the Gromov-Witten Theory of Quintic Calabi-Yau Threefold

Abstract

We carry out the explicit computations that are used to write down the integrable hierarchy associated with the quintic Calabi-Yau threefold. We also do the calculations for the geometric structures emerging in the Gromov-Witten theory of the quintic, such as the Frobenius manifold structure and the special K\"ahler structure.