Topological recursion and geometry

Borot, Gaëtan

doi:10.1142/S0129055X20300071

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Topological recursion and geometry

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Borot, Gaëtan
Max Planck Institute for Mathematics, Max Planck Society;

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https://dx.doi.org/10.1142/S0129055X20300071
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1705.09986.pdf
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Citation

Borot, G. (2020). Topological recursion and geometry. Reviews in Mathematical Physics, 32(10): 2030007. doi:10.1142/S0129055X20300071.

Cite as: https://hdl.handle.net/21.11116/0000-0007-B1E9-A

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).