going to revise the VGIT paper.

Here, the base is one dimensional, fiber is easy. We can take the easy way out, just prove enough for this case. Or, we can do full proof.

I don't want to be super general, but just for this case. I want to consider skeleton on the total space, and skeleton on a sub-level set.

let's just glue category, that is pretty cool, and useful.

So, we have a constructible sheaf of categories. I think, we can define a sheaf of stable categories. We don't have the notion a microlocal stalk, but we do have the notion of equivalences. In that sense, it is not very satisfactory.

I need to say, non-characteristic deformation lemma. what is 2.7.2?