Homological mirror symmetry for some Fano surfaces

From Talbot

Here, we want to see mirror symmetry at least for CP^2 and CP^1 times CP^1. References are (Seidel, more about mirror symmetry and mutation) and (Auroux-Katzarkov-Orlov, first paper); the second reference is much more substantial.

One can lean on previous talks for the basic combinatorial framework in which one computes curves on surfaces; so the main stuff is applying that formalism, and doing the mirror computations of exceptional collections.