Semi-infinite topology of the complexified path integral
Also appears in collections : Fields medallists - 1998, Maxim Kontsevich
I will explain a viewpoint on resurgence via Floer-type topology of Lefschetz thimbles in the complexified path integral. In particular, so called 2d-4d wall-crossing formalism of Gaiotto, Moore and Neitzke arises naturally in this framework, without any reference to supersymmetric field theories.