15 citations · 95 across the 24 of their papers we have counts for
4 papers · 1 filter
Airy Equation for the Topological String Partition Function in a Scaling Limit
Murad Alim, Shing-Tung Yau, Jie Zhou
We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders…
Polynomial Structure of Topological String Partition Functions
Jie Zhou
We review the polynomial structure of the topological string partition functions as solutions to the holomorphic anomaly equations. We also explain the connection between the ring…
Differential Rings from Special Kähler Geometry
Jie Zhou
We study triples of graded rings defined over the deformation spaces for certain one-parameter families of Calabi-Yau threefolds. These rings are analogues of the rings of modular…
Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings
Murad Alim, Emanuel Scheidegger, Shing-Tung Yau +1
We study the differential polynomial rings which are defined using the special geometry of the moduli spaces of Calabi-Yau threefolds. The higher genus topological string amplitude…