On the remodeling conjecture for toric Calabi-Yau 3-orbifolds

DOI10.1090/jams/934zbMath1444.14093arXiv1604.07123OpenAlexW2965670976WikidataQ123019210 ScholiaQ123019210MaRDI QIDQ5216995

Chiu-Chu Melissa Liu, Zhengyu Zong, Bo Han Fang

Publication date: 21 February 2020

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07123

zbMATH Keywords

mirror symmetryGromov-Witten invariantCalabi-Yau 3-orbifoldEynard-Orantin invariantremodling conjecture

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (20)

Topological strings, quiver varieties, and Rogers-Ramanujan identities ⋮ Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks ⋮ Topological recursion for the conifold transition of a torus knot ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Quantum curves from refined topological recursion: the genus 0 case ⋮ Open Gromov-Witten theory of \(K_{\mathbb {P}^2}\), \(K_{\mathbb {P}^1\times \mathbb {P}^1}\), \(K_{W\mathbb {P}[ 1,1,2}\), \(K_{\mathbb{F}_1}\) and Jacobi forms] ⋮ Gromov-Witten invariants of 𝑆𝑦𝑚^{𝑑}ℙ^{𝕣} ⋮ \(T\)-equivariant disc potential and SYZ mirror construction ⋮ Genus two Siegel quasi-modular forms and Gromov-Witten theory of toric Calabi-Yau threefolds ⋮ Whittaker vectors for \(\mathcal{W}\)-algebras from topological recursion ⋮ Spectral theory and mirror symmetry ⋮ Graph sums in the remodeling conjecture ⋮ Gromov-Witten invariants of local \(\mathbb{P}^2\) and modular forms ⋮ Hodge-GUE correspondence and the discrete KdV equation ⋮ Reconstructing GKZ via topological recursion ⋮ Interplay between opers, quantum curves, WKB analysis, and Higgs bundles ⋮ On explicit formulae of LMOV invariants ⋮ Topological recursion in the Ramond sector ⋮ \(\mathcal{N}=1\) super topological recursion ⋮ Integrality structures in topological strings and quantum 2-functions

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