Toric Landau-Ginzburg models
arXiv:1809.09230 · doi:10.1070/RM9852
Abstract
This is a review of the theory of toric Landau-Ginzburg models - the effective approach to mirror symmetry for Fano varieties. We mainly focus on the cases of dimensions 2 and 3, as well as on the case of complete intersections in weighted projective spaces and Grassmannians. Conjectures that relate invariants of Fano varieties and their Landau--Ginzburg models, such as Katzarkov-Kontsevich-Pantev conjectures, are also studied.
78 pages, 3 figures; some misprints are corrected