A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic

DOI10.5802/aif.3031zbMath1354.14082arXiv1309.6262OpenAlexW2962705370MaRDI QIDQ332212

Mark Shoemaker, Nathan Priddis

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6262

zbMATH Keywords

Picard-Fuchs equationsLandau-Ginzburg modelFan-Jarvis-Ruan-Witten invariantsFermat quinticGivental's \(J\) functionLagrangian conesmirror family

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Period matrices, variation of Hodge structure; degenerations (32G20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (9)

Givental-type reconstruction at a nonsemisimple point ⋮ The moduli space in the gauged linear sigma model ⋮ A mathematical theory of the gauged linear sigma model ⋮ Mirror map for Landau-Ginzburg models with nonabelian groups ⋮ A brief survey of FJRW theory ⋮ The Landau-Ginzburg/Calabi-Yau correspondence and the mirror quintic ⋮ Mirror symmetry for \(K3\) surfaces ⋮ Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties ⋮ Mirror symmetry for nonabelian Landau-Ginzburg models

Cites Work

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• A Landauc-Ginzburg mirror theorem without concavity
• The Witten equation, mirror symmetry, and quantum singularity theory
• LG/CY correspondence: the state space isomorphism
• Twisted \(r\)-spin potential and Givental's quantization
• Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
• Computing genus-zero twisted Gromov-Witten invariants
• Orbifold quantum Riemann-Roch, Lefschetz and Serre
• Localization of virtual classes
• A new cohomology theory of orbifold
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• Geometric quantization with applications to Gromov-Witten theory
• A mirror theorem for the mirror quintic
• Gromov-Witten theory of Deligne-Mumford stacks
• Equivariant Gromov - Witten Invariants

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