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arXiv · 1902.03697

Graph sums in the Remodeling Conjecture

Bohan Fang·Zhengyu Zong
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Abstract

The BKMP Remodeling Conjecture \cite{Ma,BKMP09,BKMP10} predicts all genus open-closed Gromov-Witten invariants for a toric Calabi-Yau $3$-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.

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Bohan Fang, Zhengyu Zong. 2019-02-11. Graph sums in the Remodeling Conjecture. https://arxiv.org/abs/1902.03697

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