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 Kähler structure.

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• Emergent Geometry and Mirror Symmetry of A Point
• Quantum Deformation Theory of the Airy Curve and Mirror Symmetry of a Point
• On Topological 1D Gravity. I
• Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function