Enumerative Geometry of Del Pezzo Surfaces

Abstract

We prove an equivalence between the superpotential defined via tropical geometry and Lagrangian Floer theory for special Lagrangian torus fibres in del Pezzo surfaces constructed by Collins-Jacob-Lin. We also include some explicit calculations for the projective plane, which confirm some folklore conjecture in this case.

arXiv comment42 pages, 1 figrure. Comments are welcome. Accepted version