Graph sums in the Remodeling Conjecture
Algebraic Geometry
2019-02-12 v1
Abstract
The BKMP Remodeling Conjecture \cite{Ma,BKMP09,BKMP10} predicts all genus open-closed Gromov-Witten invariants for a toric Calabi-Yau -orbifold by Eynard-Orantin's topological recursion \cite{EO07} on its mirror curve. The proof of the Remodeling Conjecture by the authors \cite{FLZ1,FLZ3} relies on comparing two Feynman-type graph sums in both A and B-models. In this paper, we will survey these graph sum formulae and discuss their roles in the proof of the conjecture.
Cite
@article{arxiv.1902.03697,
title = {Graph sums in the Remodeling Conjecture},
author = {Bohan Fang and Zhengyu Zong},
journal= {arXiv preprint arXiv:1902.03697},
year = {2019}
}