• Comonad
• What is the ind-completion of Fukaya category?

Suppose we have a B-side category, and we have a bunch of open subsets, then we can glue quasi-coherent sheaves. I would just take direct sum of each pieces, and cancel the over-count by over-count. That's that.

Similar tricks better work on the A-side as well. So, how does it work? Suppose I have a cylinder, then I cut it into many pieces, and I want to glue it back. What do I do?