Recent Developments in Topological String Theory

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This review summarizes the recent developments in topological string theory from the author's perspective, mostly focused on aspects of research in which the author is involved.

• After a brief overview of the theory, we discuss two aspects of these developments.
• First, we discuss the computational progress in the topological string partition functions on a class of elliptic Calabi-Yau manifolds.
• We propose to use Jacobi forms as an ansatz for the partition function.