Moduli of J-holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-witten Invariants for an S-equivariant Pair

@inproceedings{Liu2008ModuliOJ,
title={Moduli of J-holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-witten Invariants for an S-equivariant Pair},
author={Chiu-Chu Melissa Liu},
year={2008}
}

Let (X, ω) be a symplectic manifold, J be an ω-tame almost complex structure, and L be a Lagrangian submanifold. The stable compactification of the moduli space of parametrized J-holomorphic curves in X with boundary in L (with prescribed topological data) is compact and Hausdorff in Gromov’s C∞-topology. We construct a Kuranishi structure with corners in the sense of Fukaya and Ono. This Kuranishi structure is orientable if L is spin. In the special case where the expected dimension of the… CONTINUE READING