Kontsevich and Soibelman suggested a correspondence between Donaldson-Thomas invariants of non-compact Calabi-Yau 3-folds and holomorphic curves in complex integrable systems. After reviewing this general expectation, I will present a concrete example related to mirror symmetry for the local projective plane (partly joint work with Descombes, Le Floch, Pioline), along with applications in enumerative geometry (partly joint work with Fan, Guo, Wu). I will end by an “explanation” of the general correspondence based on the physics of N=2 4d quantum field theories and holomorphic Floer theory.
De Maxim Kontsevich
De Maxim Kontsevich
De Philip Boalch
De Kohei Iwaki
De Maxim Kontsevich
De Maxim Kontsevich
De Jorgen Ellegaard Andersen
De Sergei Gukov
De Veronica Fantini
De Albert Schwarz
De Joaquin Brum
De Emmanuel Militon
De Emmanuel Militon
De Thibaut Le Gouic
De François-Xavier Vialard
De Elsa Cazelles
De Olga Mula Hernandez
