All-genus open-closed mirror symmetry for affine toric calabi-yau 3-orbifolds

Abstract

The remodeling conjecture proposed by Bouchard-Klemm-Mari~no-Pasquetti relates all-genus open and closed Gromov-Witten invariants of a semi-projective toric Calabi- Yau 3-manifold/3-orbifold X to the Eynard-Orantin invariants of the mirror curve of X. In this paper, we present a proof of the remodeling conjecture for open-closed orbifold Gromov-Witten invariants of an arbitrary affine toric Calabi-Yau 3-orbifold relative to a framed Aganagic-Vafa Lagrangian brane. This can be viewed as an allgenus open-closed mirror symmetry for affine toric Calabi-Yau 3-orbifolds.