I was discussing with Yixuan yesterday. He mentioned a few works by Siu-Cheong Lau are noteworthy.

• Localized mirror functor. No, not just probing the space using a compact immersed Lagrangian, but with deformation, allowing immersed Lagrangians.
• Nakajima quiver variety coming from Floer theory

What is the Crane-Frenkel 4d TQFT? What is the small quantum group? Why we need to be small? Just so the Verma can be defined?