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U\((1)\)-invariant special Lagrangian 3-folds in \(\mathbb{C}^3\) and special Lagrangian fibrations. (English) Zbl 1040.53091
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.

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)
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