%0 Journal Article
%T Open Gromov-Witten invariants and superpotentials for semi-Fano toric surfaces
%A Kwokwai Chan
%A Siu-Cheong Lau
%J Mathematics
%D 2010
%I arXiv
%R 10.1093/imrn/rnt050
%X In this paper, we compute the open Gromov-Witten invariants for every compact toric surface X which is semi-Fano (i.e. the anticanonical line bundle is nef). Unlike the Fano case, this involves non-trivial obstructions in the corresponding moduli problem. As a consequence, an explicit formula for the Lagrangian Floer superpotential W is obtained, which in turn gives an explicit presentation of the small quantum cohomology ring of X. We also provide a computational verification of the conjectural ring isomorphism between the small quantum cohomology of X and the Jacobian ring of W.
%U http://arxiv.org/abs/1010.5287v3