Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds

DOI10.1215/00127094-0000003XzbMath1371.53090arXiv1209.6119OpenAlexW1670169102MaRDI QIDQ2012192

Hsian-Hua Tseng, Naichung Conan Leung, Kwokwai Chan, Siu-Cheong Lau

Publication date: 28 July 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6119

zbMATH Keywords

mirror symmetrytoric manifoldsLagrangian Floer theorymirror mapsopen Gromov-Witten invariantsclosed Gromov-Witten invariantsdisc potentialSeidel representationsSeidel spacessemi-Fano toric manifoldssuperpotential.

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Momentum maps; symplectic reduction (53D20) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

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