It's been a while since I left math for industry but I once heard that the shape and contents of "the space of all problem sets and solution sets for enumerativ

It's been a while since I left math for industry but I once heard that the shape and contents of "the space of all problem sets and solution sets for enumerative geometry on arbitrary n-manifolds" is something that is amenable to investigation through something called Gromov-Witten theory. I did a quick number of searches on GW theory just now and cannot decipher the results so I still don't know if that claim had any merit to it but a sanity check suggests there's no obvious computational reason that it couldn't be true for n=2 or 3.