A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry

DOI10.2140/pjm.2011.254.275zbMath1246.53116arXiv1006.3827OpenAlexW3104871714MaRDI QIDQ418432

Kwokwai Chan

Publication date: 29 May 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3827

zbMATH Keywords

mirror symmetrytoric manifoldssuperpotentialLandau-Ginzburg modelopen Gromov-Witten invariantssemi-Fano

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Lagrangian submanifolds; Maslov index (53D12) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (3)

Enumerative meaning of mirror maps for toric Calabi-Yau manifolds ⋮ Categorical mirror symmetry on cohomology for a complex genus 2 curve ⋮ Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds

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