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arXiv · 1705.09986

Lecture notes on topological recursion and geometry

Gaëtan Borot
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Abstract

These are lecture notes for a 4h mini-course held in Toulouse, May 9-12th, at the thematic school on "Quantum topology and geometry". The goal of these lectures is to (a) explain some incarnations, in the last ten years, of the idea of topological recursion: in two dimensional quantum field theories, in cohomological field theories, in the computation of Weil-Petersson volumes of the moduli space of curves; (b) relate them more specifically to Eynard-Orantin topological recursion (revisited from Kontsevich-Soibelman point of view based on quantum Airy structures).

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Gaëtan Borot. 2017-05-28. Lecture notes on topological recursion and geometry. https://doi.org/10.1142/s0129055x20300071

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