I will describe joint work-in-progress with Sheel Ganatra and Vivek Shende. We investigate to what extent holomorphic curves and Lagrangian submanifolds can be “localized”. One goal is to obtain a combinatorial presentation of the Fukaya category of any Stein manifold. Another corollary of our setup is a local-to-global argument for verifying Abouzaid’s generation criterion for the Fukaya category.
This video is part of Harvard University‘s conference JDG 2017.
