Enumerative meaning of mirror maps for toric Calabi-Yau manifolds

DOI10.1016/j.aim.2013.05.018zbMath1286.14056arXiv1110.4439OpenAlexW2076575893MaRDI QIDQ2437422

Hsian-Hua Tseng, Kwokwai Chan, Siu-Cheong Lau

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4439

zbMATH Keywords

mirror symmetrytoric manifoldsCalabi-Yaumirror mapsopen Gromov-Witten invariantsGKZ systems

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Lagrangian submanifolds; Maslov index (53D12) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (10)

Open Gromov-Witten invariants and SYZ under local conifold transitions ⋮ Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks ⋮ Local Calabi-Yau manifolds of type \(\widetilde{A}\) via SYZ mirror symmetry ⋮ The proper Landau-Ginzburg potential, intrinsic mirror symmetry and the relative mirror map ⋮ Relative Gromov–Witten invariants and the enumerative meaning of mirror maps for toric Calabi–Yau orbifolds ⋮ Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds ⋮ Gauged linear sigma model for disc invariants ⋮ Lagrangian Floer potential of orbifold spheres ⋮ SYZ mirror symmetry for hypertoric varieties ⋮ On the remodeling conjecture for toric Calabi-Yau 3-orbifolds

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