This paper aims at explaining some incarnations of the idea of topological recursion: in two-dimensional quantum field theories (2d TQFTs), in cohomological field theories (CohFT), and in the computation of volumes of the moduli space of curves. It gives an introduction to the formalism of quantum Airy structures on which the topological recursion is based, which is seen at work in the above topics.

中文翻译：

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拓扑递归和几何

本文旨在解释拓扑递归思想的一些化身：在二维量子场论（2d TQFT）、上同调场论（CohFT）和曲线模空间体积的计算中。它介绍了拓扑递归所基于的量子艾里结构的形式，这在上述主题中起作用。