# Topological String Geometry

## TL;DR

This paper develops a topological string geometry theory that reproduces perturbative string amplitudes and aims to facilitate the study of non-perturbative effects in string theory.

## Contribution

It introduces a topological string geometry framework that simplifies deriving non-perturbative effects and reproduces known perturbative results from classical solutions.

## Key findings

- Perturbative partition function derived from fluctuations in the topological string geometry.
- The theory correctly reproduces perturbative string amplitudes.
- Provides a foundation for exploring non-perturbative string phenomena.

## Abstract

Perturbative string amplitudes are correctly derived from the string geometry theory, which is one of the candidates of a non-perturbative formulation of string theory. In order to derive non-perturbative effects rather easily, we formulate topological string geometry theory. We derive the perturbative partition function of the topological string theory from fluctuations around a classical solution in the topological string geometry theory.