Joyce, Dominic U\((1)\)-invariant special Lagrangian 3-folds in \(\mathbb{C}^3\) and special Lagrangian fibrations. (English) Zbl 1040.53091 Turk. J. Math. 27, No. 1, 99-114 (2003). The author gives a survey of four of his papers on special Lagrangian 3-folds in \(\mathbb{C}^3\), invariant under some \(U\)(1)-action, together with applications on special Lagrangian fibrations and the \(SYZ\)-conjecture. There are no proofs, but the content is clear and contains many examples. Reviewer: Gabriel Teodor Pripoae (Bucureşti) Cited in 6 Documents MSC: 53D12 Lagrangian submanifolds; Maslov index 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 53C38 Calibrations and calibrated geometries 32Q25 Calabi-Yau theory (complex-analytic aspects) Keywords:special Lagrangian 3-fold; Lagrangian fibration PDF BibTeX XML Cite \textit{D. Joyce}, Turk. J. Math. 27, No. 1, 99--114 (2003; Zbl 1040.53091) Full Text: arXiv