TITLE: Learning Quantum (Co)Homology and Landau Ginzburg Superpotential
QUESTION [8 upvotes]: I am learning about Quantum Homology which I have to use in my research, and I see that in many papers (For example in FOOO, "Spectral invariants with bulk, Quasimorphisms and Lagrangian Floer theory", http://arxiv.org/abs/1105.5123), the homology ring being computed is given in terms of a Superpotential function. I understand that the relations in the homology ring are somehow encoded in its derivatives, and that it's critical point somehow correspond to Toric fibers with non vanishing homology, but nothing more than that and I have no clue about the details.
What I am looking for is some exposition on the subject, some lecture notes, or somewhere where I can see a simple example being calculated completely from scratch.
Can anyone please refer me so such sources?
Thank you

REPLY [4 votes]: You can find some very accessible discussion on quantum cohomology of toric (Fano) manifolds in On the quantum homology algebra of toric Fano manifolds by Ostrover & Tyomkin (and references therein). Also check out Batyrev's original Quantum Cohomology Rings of Toric Manifolds - before going to FOOO.