Darn it, time really flies. No recollection whatsoever what happened last few days. Maybe doesn't matter.

I am recently very interested in the relationship between solving differential equation and doing Floer theory.

a.la Kontsevich-Soibelman

Given a holomorphic symplectic manifold $(M, \omega)$, there are two ways to get a family of categories, $Fuk_\hbar(M) := Fuk(M, Re(\omega/\hbar), B=Im(\omega/\hbar))$ and $DQ_\hbar(M)$. Conjecturally, they are equivalent.

More precisely speaking, we need to encode the 'allowed region' for compatification. Otherwise, the $DQ$-module side has too much freedom.

A few things that makes sense:

• in the setting of spectral curve $\Sigma \In T^*C$ (things still holomorphic). They have spectral networks, shadow of degenerate holomorphic curves.
• In the case for exact WKB, I am totally lost. What are you trying to say? Are you trying to use integrals get equations?