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Mathematics, Mathematical Physics
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).
