DT Invariants and Exponential Networks

I will review how DT invariants of toric CY 3-folds/5d BPS states can be computed using exponential networks on the mirror conic bundle. This corresponds to a definition of DT as an appropriate counting of compact special Lagrangians. As time permits, I will comment on new developments such as the interpretation of exponential as critical leaves of foliations and the inclusion of noncompact objects.